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Finding the Fourth Proportional to 224.75, 337.14 and 87.91

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Solution

The fourth proportional to 224.75, 337.14 and 87.91 is: 131.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.75 : 337.14 = 87.91 : x
  2. Step 2: Convert to fraction form
    224.75/337.14 = 87.91/x
  3. Step 3: Cross multiply
    224.75x = 337.14 × 87.91
  4. Step 4: Simplify right side
    224.75x = 29,637.13
  5. Step 5: Solve for x
    x = 29,637.13/224.75
  6. Step 6: Final answer
    x = 131.87

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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.