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Finding the Fourth Proportional to 198.91, 298.18 and 168.67

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Solution

The fourth proportional to 198.91, 298.18 and 168.67 is: 252.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.91 : 298.18 = 168.67 : x
  2. Step 2: Convert to fraction form
    198.91/298.18 = 168.67/x
  3. Step 3: Cross multiply
    198.91x = 298.18 × 168.67
  4. Step 4: Simplify right side
    198.91x = 50,294.02
  5. Step 5: Solve for x
    x = 50,294.02/198.91
  6. Step 6: Final answer
    x = 252.85

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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.