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Finding the Fourth Proportional to 198.78, 298.14 and 83.19

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Solution

The fourth proportional to 198.78, 298.14 and 83.19 is: 124.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.78 : 298.14 = 83.19 : x
  2. Step 2: Convert to fraction form
    198.78/298.14 = 83.19/x
  3. Step 3: Cross multiply
    198.78x = 298.14 × 83.19
  4. Step 4: Simplify right side
    198.78x = 24,802.27
  5. Step 5: Solve for x
    x = 24,802.27/198.78
  6. Step 6: Final answer
    x = 124.77

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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.