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Finding the Fourth Proportional to 198.92, 298.38 and 185.88

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Solution

The fourth proportional to 198.92, 298.38 and 185.88 is: 278.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.92 : 298.38 = 185.88 : x
  2. Step 2: Convert to fraction form
    198.92/298.38 = 185.88/x
  3. Step 3: Cross multiply
    198.92x = 298.38 × 185.88
  4. Step 4: Simplify right side
    198.92x = 55,462.87
  5. Step 5: Solve for x
    x = 55,462.87/198.92
  6. Step 6: Final answer
    x = 278.82

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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.