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Finding the Fourth Proportional to 267.52, 402.42 and 224.44

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Solution

The fourth proportional to 267.52, 402.42 and 224.44 is: 337.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.52 : 402.42 = 224.44 : x
  2. Step 2: Convert to fraction form
    267.52/402.42 = 224.44/x
  3. Step 3: Cross multiply
    267.52x = 402.42 × 224.44
  4. Step 4: Simplify right side
    267.52x = 90,319.14
  5. Step 5: Solve for x
    x = 90,319.14/267.52
  6. Step 6: Final answer
    x = 337.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.