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Finding the Fourth Proportional to 198.52, 297.72 and 76.78

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Solution

The fourth proportional to 198.52, 297.72 and 76.78 is: 115.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.52 : 297.72 = 76.78 : x
  2. Step 2: Convert to fraction form
    198.52/297.72 = 76.78/x
  3. Step 3: Cross multiply
    198.52x = 297.72 × 76.78
  4. Step 4: Simplify right side
    198.52x = 22,858.94
  5. Step 5: Solve for x
    x = 22,858.94/198.52
  6. Step 6: Final answer
    x = 115.15

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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.