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Finding the Fourth Proportional to 198.12, 297.09 and 82.56

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Solution

The fourth proportional to 198.12, 297.09 and 82.56 is: 123.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.12 : 297.09 = 82.56 : x
  2. Step 2: Convert to fraction form
    198.12/297.09 = 82.56/x
  3. Step 3: Cross multiply
    198.12x = 297.09 × 82.56
  4. Step 4: Simplify right side
    198.12x = 24,527.75
  5. Step 5: Solve for x
    x = 24,527.75/198.12
  6. Step 6: Final answer
    x = 123.80

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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.