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Finding the Fourth Proportional to 198.57, 273.63 and 168.97

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Solution

The fourth proportional to 198.57, 273.63 and 168.97 is: 232.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.57 : 273.63 = 168.97 : x
  2. Step 2: Convert to fraction form
    198.57/273.63 = 168.97/x
  3. Step 3: Cross multiply
    198.57x = 273.63 × 168.97
  4. Step 4: Simplify right side
    198.57x = 46,235.26
  5. Step 5: Solve for x
    x = 46,235.26/198.57
  6. Step 6: Final answer
    x = 232.84

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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.