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Finding the Fourth Proportional to 198.29, 297.57 and 82.73

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Solution

The fourth proportional to 198.29, 297.57 and 82.73 is: 124.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.29 : 297.57 = 82.73 : x
  2. Step 2: Convert to fraction form
    198.29/297.57 = 82.73/x
  3. Step 3: Cross multiply
    198.29x = 297.57 × 82.73
  4. Step 4: Simplify right side
    198.29x = 24,619.02
  5. Step 5: Solve for x
    x = 24,619.02/198.29
  6. Step 6: Final answer
    x = 124.16

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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.