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Finding the Fourth Proportional to 198.41, 297.49 and 76.68

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Solution

The fourth proportional to 198.41, 297.49 and 76.68 is: 114.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.41 : 297.49 = 76.68 : x
  2. Step 2: Convert to fraction form
    198.41/297.49 = 76.68/x
  3. Step 3: Cross multiply
    198.41x = 297.49 × 76.68
  4. Step 4: Simplify right side
    198.41x = 22,811.53
  5. Step 5: Solve for x
    x = 22,811.53/198.41
  6. Step 6: Final answer
    x = 114.97

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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.