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Finding the Fourth Proportional to 198.72, 298.11 and 83.22

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Solution

The fourth proportional to 198.72, 298.11 and 83.22 is: 124.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.72 : 298.11 = 83.22 : x
  2. Step 2: Convert to fraction form
    198.72/298.11 = 83.22/x
  3. Step 3: Cross multiply
    198.72x = 298.11 × 83.22
  4. Step 4: Simplify right side
    198.72x = 24,808.71
  5. Step 5: Solve for x
    x = 24,808.71/198.72
  6. Step 6: Final answer
    x = 124.84

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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.