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Finding the Fourth Proportional to 198.52, 273.24 and 170.57

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Solution

The fourth proportional to 198.52, 273.24 and 170.57 is: 234.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.52 : 273.24 = 170.57 : x
  2. Step 2: Convert to fraction form
    198.52/273.24 = 170.57/x
  3. Step 3: Cross multiply
    198.52x = 273.24 × 170.57
  4. Step 4: Simplify right side
    198.52x = 46,607.23
  5. Step 5: Solve for x
    x = 46,607.23/198.52
  6. Step 6: Final answer
    x = 234.78

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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.