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1. Wrap your Row with IntrinsicHeight
2. Set the Row s crossAxisAlignment into CrossAxisAlignment.stretch (for stretching the layout to max row sibling height)

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import  package:flutter/material.dart ;

void main() => runApp(MyApp());

class MyApp extends StatelessWidget {
  @override
  Widget build(BuildContext context) {
    return MaterialApp(
      home: Scaffold(
        body: Column(
          children: [
            IntrinsicHeight(
              child: Row(
                crossAxisAlignment: CrossAxisAlignment.stretch,
                children: [
                  Container(
                    color: Colors.blue,
                    width: 100,
                    child: Text( Box 1 ),
                  ),
                  Container(
                    color: Colors.green,
                    width: 150,
                    child: Text( Box 2
with
different
heights ),
                  ),
                  Container(
                    color: Colors.orange,
                    width: 75,
                    child: Text( Box 3 ),
                  ),
                ],
              ),
            ),
          ],
        ),
      ),
    );
  }
}

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