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Finding the Fourth Proportional to 276.89, 414.92 and 132.41

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Solution

The fourth proportional to 276.89, 414.92 and 132.41 is: 198.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.89 : 414.92 = 132.41 : x
  2. Step 2: Convert to fraction form
    276.89/414.92 = 132.41/x
  3. Step 3: Cross multiply
    276.89x = 414.92 × 132.41
  4. Step 4: Simplify right side
    276.89x = 54,938.90
  5. Step 5: Solve for x
    x = 54,938.90/276.89
  6. Step 6: Final answer
    x = 198.41

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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.