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Finding the Fourth Proportional to 198.11, 297.05 and 80.87

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Solution

The fourth proportional to 198.11, 297.05 and 80.87 is: 121.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.11 : 297.05 = 80.87 : x
  2. Step 2: Convert to fraction form
    198.11/297.05 = 80.87/x
  3. Step 3: Cross multiply
    198.11x = 297.05 × 80.87
  4. Step 4: Simplify right side
    198.11x = 24,022.43
  5. Step 5: Solve for x
    x = 24,022.43/198.11
  6. Step 6: Final answer
    x = 121.26

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Why These Related Problems?

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