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Finding the Fourth Proportional to 198.42, 297.26 and 115.96

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Solution

The fourth proportional to 198.42, 297.26 and 115.96 is: 173.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.42 : 297.26 = 115.96 : x
  2. Step 2: Convert to fraction form
    198.42/297.26 = 115.96/x
  3. Step 3: Cross multiply
    198.42x = 297.26 × 115.96
  4. Step 4: Simplify right side
    198.42x = 34,470.27
  5. Step 5: Solve for x
    x = 34,470.27/198.42
  6. Step 6: Final answer
    x = 173.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.