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Finding the Fourth Proportional to 198.11, 296.82 and 106.85

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Solution

The fourth proportional to 198.11, 296.82 and 106.85 is: 160.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.11 : 296.82 = 106.85 : x
  2. Step 2: Convert to fraction form
    198.11/296.82 = 106.85/x
  3. Step 3: Cross multiply
    198.11x = 296.82 × 106.85
  4. Step 4: Simplify right side
    198.11x = 31,715.22
  5. Step 5: Solve for x
    x = 31,715.22/198.11
  6. Step 6: Final answer
    x = 160.09

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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.