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Finding the Fourth Proportional to 198.20, 297.42 and 89.99

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Solution

The fourth proportional to 198.20, 297.42 and 89.99 is: 135.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.20 : 297.42 = 89.99 : x
  2. Step 2: Convert to fraction form
    198.20/297.42 = 89.99/x
  3. Step 3: Cross multiply
    198.20x = 297.42 × 89.99
  4. Step 4: Simplify right side
    198.20x = 26,764.83
  5. Step 5: Solve for x
    x = 26,764.83/198.20
  6. Step 6: Final answer
    x = 135.04

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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.