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Finding the Fourth Proportional to 198.82, 298.02 and 112.05

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Solution

The fourth proportional to 198.82, 298.02 and 112.05 is: 167.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.82 : 298.02 = 112.05 : x
  2. Step 2: Convert to fraction form
    198.82/298.02 = 112.05/x
  3. Step 3: Cross multiply
    198.82x = 298.02 × 112.05
  4. Step 4: Simplify right side
    198.82x = 33,391.65
  5. Step 5: Solve for x
    x = 33,391.65/198.82
  6. Step 6: Final answer
    x = 167.95

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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.