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Finding the Fourth Proportional to 224.58, 337.05 and 116.31

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Solution

The fourth proportional to 224.58, 337.05 and 116.31 is: 174.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.58 : 337.05 = 116.31 : x
  2. Step 2: Convert to fraction form
    224.58/337.05 = 116.31/x
  3. Step 3: Cross multiply
    224.58x = 337.05 × 116.31
  4. Step 4: Simplify right side
    224.58x = 39,202.29
  5. Step 5: Solve for x
    x = 39,202.29/224.58
  6. Step 6: Final answer
    x = 174.56

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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.