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Finding the Fourth Proportional to 198.78, 298.17 and 83.21

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Solution

The fourth proportional to 198.78, 298.17 and 83.21 is: 124.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.78 : 298.17 = 83.21 : x
  2. Step 2: Convert to fraction form
    198.78/298.17 = 83.21/x
  3. Step 3: Cross multiply
    198.78x = 298.17 × 83.21
  4. Step 4: Simplify right side
    198.78x = 24,809.23
  5. Step 5: Solve for x
    x = 24,809.23/198.78
  6. Step 6: Final answer
    x = 124.81

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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.