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Finding the Fourth Proportional to 198.62, 297.94 and 76.89

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Solution

The fourth proportional to 198.62, 297.94 and 76.89 is: 115.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.62 : 297.94 = 76.89 : x
  2. Step 2: Convert to fraction form
    198.62/297.94 = 76.89/x
  3. Step 3: Cross multiply
    198.62x = 297.94 × 76.89
  4. Step 4: Simplify right side
    198.62x = 22,907.32
  5. Step 5: Solve for x
    x = 22,907.32/198.62
  6. Step 6: Final answer
    x = 115.33

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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.