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Finding the Fourth Proportional to 198.30, 296.82 and 106.78

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Solution

The fourth proportional to 198.30, 296.82 and 106.78 is: 159.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.30 : 296.82 = 106.78 : x
  2. Step 2: Convert to fraction form
    198.30/296.82 = 106.78/x
  3. Step 3: Cross multiply
    198.30x = 296.82 × 106.78
  4. Step 4: Simplify right side
    198.30x = 31,694.44
  5. Step 5: Solve for x
    x = 31,694.44/198.30
  6. Step 6: Final answer
    x = 159.83

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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.