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Finding the Fourth Proportional to 198.71, 273.85 and 132.20

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Solution

The fourth proportional to 198.71, 273.85 and 132.20 is: 182.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.71 : 273.85 = 132.20 : x
  2. Step 2: Convert to fraction form
    198.71/273.85 = 132.20/x
  3. Step 3: Cross multiply
    198.71x = 273.85 × 132.20
  4. Step 4: Simplify right side
    198.71x = 36,201.95
  5. Step 5: Solve for x
    x = 36,201.95/198.71
  6. Step 6: Final answer
    x = 182.19

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