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Finding the Fourth Proportional to 198.97, 298.60 and 112.37

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Solution

The fourth proportional to 198.97, 298.60 and 112.37 is: 168.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.97 : 298.60 = 112.37 : x
  2. Step 2: Convert to fraction form
    198.97/298.60 = 112.37/x
  3. Step 3: Cross multiply
    198.97x = 298.60 × 112.37
  4. Step 4: Simplify right side
    198.97x = 33,551.91
  5. Step 5: Solve for x
    x = 33,551.91/198.97
  6. Step 6: Final answer
    x = 168.63

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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.