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Finding the Fourth Proportional to 224.61, 337.14 and 102.96

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Solution

The fourth proportional to 224.61, 337.14 and 102.96 is: 154.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.61 : 337.14 = 102.96 : x
  2. Step 2: Convert to fraction form
    224.61/337.14 = 102.96/x
  3. Step 3: Cross multiply
    224.61x = 337.14 × 102.96
  4. Step 4: Simplify right side
    224.61x = 34,711.93
  5. Step 5: Solve for x
    x = 34,711.93/224.61
  6. Step 6: Final answer
    x = 154.54

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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.