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Finding the Fourth Proportional to 198.39, 297.71 and 82.83

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Solution

The fourth proportional to 198.39, 297.71 and 82.83 is: 124.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.39 : 297.71 = 82.83 : x
  2. Step 2: Convert to fraction form
    198.39/297.71 = 82.83/x
  3. Step 3: Cross multiply
    198.39x = 297.71 × 82.83
  4. Step 4: Simplify right side
    198.39x = 24,659.53
  5. Step 5: Solve for x
    x = 24,659.53/198.39
  6. Step 6: Final answer
    x = 124.30

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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.