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Finding the Fourth Proportional to 224.92, 337.02 and 127.24

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Solution

The fourth proportional to 224.92, 337.02 and 127.24 is: 190.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.92 : 337.02 = 127.24 : x
  2. Step 2: Convert to fraction form
    224.92/337.02 = 127.24/x
  3. Step 3: Cross multiply
    224.92x = 337.02 × 127.24
  4. Step 4: Simplify right side
    224.92x = 42,882.42
  5. Step 5: Solve for x
    x = 42,882.42/224.92
  6. Step 6: Final answer
    x = 190.66

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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.