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Finding the Fourth Proportional to 224.93, 337.57 and 167.29

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Solution

The fourth proportional to 224.93, 337.57 and 167.29 is: 251.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.93 : 337.57 = 167.29 : x
  2. Step 2: Convert to fraction form
    224.93/337.57 = 167.29/x
  3. Step 3: Cross multiply
    224.93x = 337.57 × 167.29
  4. Step 4: Simplify right side
    224.93x = 56,472.09
  5. Step 5: Solve for x
    x = 56,472.09/224.93
  6. Step 6: Final answer
    x = 251.07

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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.