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Finding the Fourth Proportional to 270.92, 406.38 and 133.94

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Solution

The fourth proportional to 270.92, 406.38 and 133.94 is: 200.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.92 : 406.38 = 133.94 : x
  2. Step 2: Convert to fraction form
    270.92/406.38 = 133.94/x
  3. Step 3: Cross multiply
    270.92x = 406.38 × 133.94
  4. Step 4: Simplify right side
    270.92x = 54,430.54
  5. Step 5: Solve for x
    x = 54,430.54/270.92
  6. Step 6: Final answer
    x = 200.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.