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Finding the Fourth Proportional to 198.09, 297.15 and 116.78

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Solution

The fourth proportional to 198.09, 297.15 and 116.78 is: 175.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.09 : 297.15 = 116.78 : x
  2. Step 2: Convert to fraction form
    198.09/297.15 = 116.78/x
  3. Step 3: Cross multiply
    198.09x = 297.15 × 116.78
  4. Step 4: Simplify right side
    198.09x = 34,701.92
  5. Step 5: Solve for x
    x = 34,701.92/198.09
  6. Step 6: Final answer
    x = 175.18

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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.