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Finding the Fourth Proportional to 224.96, 337.60 and 133.84

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Solution

The fourth proportional to 224.96, 337.60 and 133.84 is: 200.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.96 : 337.60 = 133.84 : x
  2. Step 2: Convert to fraction form
    224.96/337.60 = 133.84/x
  3. Step 3: Cross multiply
    224.96x = 337.60 × 133.84
  4. Step 4: Simplify right side
    224.96x = 45,184.38
  5. Step 5: Solve for x
    x = 45,184.38/224.96
  6. Step 6: Final answer
    x = 200.86

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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.