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Finding the Fourth Proportional to 198.41, 297.65 and 76.70

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Solution

The fourth proportional to 198.41, 297.65 and 76.70 is: 115.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.41 : 297.65 = 76.70 : x
  2. Step 2: Convert to fraction form
    198.41/297.65 = 76.70/x
  3. Step 3: Cross multiply
    198.41x = 297.65 × 76.70
  4. Step 4: Simplify right side
    198.41x = 22,830.69
  5. Step 5: Solve for x
    x = 22,830.69/198.41
  6. Step 6: Final answer
    x = 115.07

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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.