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Finding the Fourth Proportional to 198.03, 273.06 and 132.56

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Solution

The fourth proportional to 198.03, 273.06 and 132.56 is: 182.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.03 : 273.06 = 132.56 : x
  2. Step 2: Convert to fraction form
    198.03/273.06 = 132.56/x
  3. Step 3: Cross multiply
    198.03x = 273.06 × 132.56
  4. Step 4: Simplify right side
    198.03x = 36,195.47
  5. Step 5: Solve for x
    x = 36,195.47/198.03
  6. Step 6: Final answer
    x = 182.78

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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.