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Finding the Fourth Proportional to 332.16, 458.24 and 193.92

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Solution

The fourth proportional to 332.16, 458.24 and 193.92 is: 267.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.16 : 458.24 = 193.92 : x
  2. Step 2: Convert to fraction form
    332.16/458.24 = 193.92/x
  3. Step 3: Cross multiply
    332.16x = 458.24 × 193.92
  4. Step 4: Simplify right side
    332.16x = 88,861.90
  5. Step 5: Solve for x
    x = 88,861.90/332.16
  6. Step 6: Final answer
    x = 267.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.