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Finding the Fourth Proportional to 198.25, 273.56 and 132.75

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Solution

The fourth proportional to 198.25, 273.56 and 132.75 is: 183.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.25 : 273.56 = 132.75 : x
  2. Step 2: Convert to fraction form
    198.25/273.56 = 132.75/x
  3. Step 3: Cross multiply
    198.25x = 273.56 × 132.75
  4. Step 4: Simplify right side
    198.25x = 36,314.43
  5. Step 5: Solve for x
    x = 36,314.43/198.25
  6. Step 6: Final answer
    x = 183.18

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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.