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Finding the Fourth Proportional to 198.57, 273.78 and 124.86

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Solution

The fourth proportional to 198.57, 273.78 and 124.86 is: 172.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.57 : 273.78 = 124.86 : x
  2. Step 2: Convert to fraction form
    198.57/273.78 = 124.86/x
  3. Step 3: Cross multiply
    198.57x = 273.78 × 124.86
  4. Step 4: Simplify right side
    198.57x = 34,184.17
  5. Step 5: Solve for x
    x = 34,184.17/198.57
  6. Step 6: Final answer
    x = 172.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.