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Finding the Fourth Proportional to 224.71, 337.10 and 78.49

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Solution

The fourth proportional to 224.71, 337.10 and 78.49 is: 117.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.71 : 337.10 = 78.49 : x
  2. Step 2: Convert to fraction form
    224.71/337.10 = 78.49/x
  3. Step 3: Cross multiply
    224.71x = 337.10 × 78.49
  4. Step 4: Simplify right side
    224.71x = 26,460.62
  5. Step 5: Solve for x
    x = 26,460.62/224.71
  6. Step 6: Final answer
    x = 117.76

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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.