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Finding the Fourth Proportional to 198.10, 296.52 and 167.68

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Solution

The fourth proportional to 198.10, 296.52 and 167.68 is: 250.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.10 : 296.52 = 167.68 : x
  2. Step 2: Convert to fraction form
    198.10/296.52 = 167.68/x
  3. Step 3: Cross multiply
    198.10x = 296.52 × 167.68
  4. Step 4: Simplify right side
    198.10x = 49,720.47
  5. Step 5: Solve for x
    x = 49,720.47/198.10
  6. Step 6: Final answer
    x = 250.99

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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.