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Finding the Fourth Proportional to 198.40, 273.89 and 124.83

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Solution

The fourth proportional to 198.40, 273.89 and 124.83 is: 172.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.40 : 273.89 = 124.83 : x
  2. Step 2: Convert to fraction form
    198.40/273.89 = 124.83/x
  3. Step 3: Cross multiply
    198.40x = 273.89 × 124.83
  4. Step 4: Simplify right side
    198.40x = 34,189.69
  5. Step 5: Solve for x
    x = 34,189.69/198.40
  6. Step 6: Final answer
    x = 172.33

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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.