Tabs of equal width in TabControl

Question

I have 4 tabs at the top of a tab control. I would like for each tab to use 25% of the TabControl's width.

What is the correct way, using XAML, to do that?

Here is what I have tried:

<Grid  HorizontalAlignment="Left" Height="458" Margin="10,65,0,0" VerticalAlignment="Top" Width="276">
    <TabControl Grid.IsSharedSizeScope="True" HorizontalAlignment="Stretch">
        <TabItem Header="Cameras">
            <Grid Background="#FFE5E5E5">
                <Grid.ColumnDefinitions>
                    <ColumnDefinition Width="Auto" SharedSizeGroup="tabControl"/>
                </Grid.ColumnDefinitions>
            </Grid>
        </TabItem>
        <TabItem Header="MultiCam">
            <Grid Background="#FFE5E5E5">
                <Grid.ColumnDefinitions>
                    <ColumnDefinition Width="Auto" SharedSizeGroup="tabControl"/>
                </Grid.ColumnDefinitions>
            </Grid>
        </TabItem>
        <TabItem Header="Search">
            <Grid Background="#FFE5E5E5">
                <Grid.ColumnDefinitions>
                    <ColumnDefinition Width="Auto" SharedSizeGroup="tabControl"/>
                </Grid.ColumnDefinitions>
            </Grid>
        </TabItem>
        <TabItem Header="Admin" Margin="-2,-2,-10,-1">
            <Grid Background="#FFE5E5E5">
                <Grid.ColumnDefinitions>
                    <ColumnDefinition Width="Auto" SharedSizeGroup="tabControl"/>
                </Grid.ColumnDefinitions>
            </Grid>
        </TabItem>
    </TabControl>
</Grid>

Answer 1

Here's another trick, a Grid can overlap any number of elements:

<Grid>
    <UniformGrid Columns="4" Margin="5,0">
        <FrameworkElement x:Name="c1"/>
        <!-- no need to add the other three -->
    </UniformGrid>
    <TabControl>
        <TabItem Header="header" Width="{Binding ElementName=c1, Path=ActualWidth}"/>
        <TabItem Header="header" Width="{Binding ElementName=c1, Path=ActualWidth}"/>
        <TabItem Header="header" Width="{Binding ElementName=c1, Path=ActualWidth}"/>
        <TabItem Header="header" Width="{Binding ElementName=c1, Path=ActualWidth}"/>
    </TabControl>
</Grid>

a UniformGrid the same size of the TabControl is used to measure the width of each column. add only one FrameworkElement since all TabItems are the same size.