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Finding the Fourth Proportional to 198.10, 296.84 and 116.85

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Solution

The fourth proportional to 198.10, 296.84 and 116.85 is: 175.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.10 : 296.84 = 116.85 : x
  2. Step 2: Convert to fraction form
    198.10/296.84 = 116.85/x
  3. Step 3: Cross multiply
    198.10x = 296.84 × 116.85
  4. Step 4: Simplify right side
    198.10x = 34,686.05
  5. Step 5: Solve for x
    x = 34,686.05/198.10
  6. Step 6: Final answer
    x = 175.10

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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.