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Finding the Fourth Proportional to 198.35, 297.24 and 106.87

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Solution

The fourth proportional to 198.35, 297.24 and 106.87 is: 160.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.35 : 297.24 = 106.87 : x
  2. Step 2: Convert to fraction form
    198.35/297.24 = 106.87/x
  3. Step 3: Cross multiply
    198.35x = 297.24 × 106.87
  4. Step 4: Simplify right side
    198.35x = 31,764.55
  5. Step 5: Solve for x
    x = 31,764.55/198.35
  6. Step 6: Final answer
    x = 160.14

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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.