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Finding the Fourth Proportional to 198.30, 273.60 and 132.82

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Solution

The fourth proportional to 198.30, 273.60 and 132.82 is: 183.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.30 : 273.60 = 132.82 : x
  2. Step 2: Convert to fraction form
    198.30/273.60 = 132.82/x
  3. Step 3: Cross multiply
    198.30x = 273.60 × 132.82
  4. Step 4: Simplify right side
    198.30x = 36,339.55
  5. Step 5: Solve for x
    x = 36,339.55/198.30
  6. Step 6: Final answer
    x = 183.26

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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.