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Finding the Fourth Proportional to 198.03, 273.18 and 132.60

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Solution

The fourth proportional to 198.03, 273.18 and 132.60 is: 182.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.03 : 273.18 = 132.60 : x
  2. Step 2: Convert to fraction form
    198.03/273.18 = 132.60/x
  3. Step 3: Cross multiply
    198.03x = 273.18 × 132.60
  4. Step 4: Simplify right side
    198.03x = 36,223.67
  5. Step 5: Solve for x
    x = 36,223.67/198.03
  6. Step 6: Final answer
    x = 182.92

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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.