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Finding the Fourth Proportional to 178.74, 267.42 and 132.87

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Solution

The fourth proportional to 178.74, 267.42 and 132.87 is: 198.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.74 : 267.42 = 132.87 : x
  2. Step 2: Convert to fraction form
    178.74/267.42 = 132.87/x
  3. Step 3: Cross multiply
    178.74x = 267.42 × 132.87
  4. Step 4: Simplify right side
    178.74x = 35,532.10
  5. Step 5: Solve for x
    x = 35,532.10/178.74
  6. Step 6: Final answer
    x = 198.79

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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.