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Finding the Fourth Proportional to 198.05, 297.17 and 82.53

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Solution

The fourth proportional to 198.05, 297.17 and 82.53 is: 123.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.05 : 297.17 = 82.53 : x
  2. Step 2: Convert to fraction form
    198.05/297.17 = 82.53/x
  3. Step 3: Cross multiply
    198.05x = 297.17 × 82.53
  4. Step 4: Simplify right side
    198.05x = 24,523.74
  5. Step 5: Solve for x
    x = 24,523.74/198.05
  6. Step 6: Final answer
    x = 123.82

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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.