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Finding the Fourth Proportional to 224.52, 336.24 and 178.74

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Solution

The fourth proportional to 224.52, 336.24 and 178.74 is: 267.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.52 : 336.24 = 178.74 : x
  2. Step 2: Convert to fraction form
    224.52/336.24 = 178.74/x
  3. Step 3: Cross multiply
    224.52x = 336.24 × 178.74
  4. Step 4: Simplify right side
    224.52x = 60,099.54
  5. Step 5: Solve for x
    x = 60,099.54/224.52
  6. Step 6: Final answer
    x = 267.68

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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.