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Finding the Fourth Proportional to 224.71, 337.59 and 133.47

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Solution

The fourth proportional to 224.71, 337.59 and 133.47 is: 200.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.71 : 337.59 = 133.47 : x
  2. Step 2: Convert to fraction form
    224.71/337.59 = 133.47/x
  3. Step 3: Cross multiply
    224.71x = 337.59 × 133.47
  4. Step 4: Simplify right side
    224.71x = 45,058.14
  5. Step 5: Solve for x
    x = 45,058.14/224.71
  6. Step 6: Final answer
    x = 200.52

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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.