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Finding the Fourth Proportional to 224.86, 337.11 and 102.94

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Solution

The fourth proportional to 224.86, 337.11 and 102.94 is: 154.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.86 : 337.11 = 102.94 : x
  2. Step 2: Convert to fraction form
    224.86/337.11 = 102.94/x
  3. Step 3: Cross multiply
    224.86x = 337.11 × 102.94
  4. Step 4: Simplify right side
    224.86x = 34,702.10
  5. Step 5: Solve for x
    x = 34,702.10/224.86
  6. Step 6: Final answer
    x = 154.33

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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.