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Finding the Fourth Proportional to 198.81, 298.05 and 76.99

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Solution

The fourth proportional to 198.81, 298.05 and 76.99 is: 115.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.81 : 298.05 = 76.99 : x
  2. Step 2: Convert to fraction form
    198.81/298.05 = 76.99/x
  3. Step 3: Cross multiply
    198.81x = 298.05 × 76.99
  4. Step 4: Simplify right side
    198.81x = 22,946.87
  5. Step 5: Solve for x
    x = 22,946.87/198.81
  6. Step 6: Final answer
    x = 115.42

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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.