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Finding the Fourth Proportional to 224.78, 337.04 and 116.42

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Solution

The fourth proportional to 224.78, 337.04 and 116.42 is: 174.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.78 : 337.04 = 116.42 : x
  2. Step 2: Convert to fraction form
    224.78/337.04 = 116.42/x
  3. Step 3: Cross multiply
    224.78x = 337.04 × 116.42
  4. Step 4: Simplify right side
    224.78x = 39,237.61
  5. Step 5: Solve for x
    x = 39,237.61/224.78
  6. Step 6: Final answer
    x = 174.56

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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.