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Finding the Fourth Proportional to 270.92, 406.17 and 133.89

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Solution

The fourth proportional to 270.92, 406.17 and 133.89 is: 200.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.92 : 406.17 = 133.89 : x
  2. Step 2: Convert to fraction form
    270.92/406.17 = 133.89/x
  3. Step 3: Cross multiply
    270.92x = 406.17 × 133.89
  4. Step 4: Simplify right side
    270.92x = 54,382.10
  5. Step 5: Solve for x
    x = 54,382.10/270.92
  6. Step 6: Final answer
    x = 200.73

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