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Finding the Fourth Proportional to 198.27, 273.71 and 194.54

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Solution

The fourth proportional to 198.27, 273.71 and 194.54 is: 268.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.27 : 273.71 = 194.54 : x
  2. Step 2: Convert to fraction form
    198.27/273.71 = 194.54/x
  3. Step 3: Cross multiply
    198.27x = 273.71 × 194.54
  4. Step 4: Simplify right side
    198.27x = 53,246.66
  5. Step 5: Solve for x
    x = 53,246.66/198.27
  6. Step 6: Final answer
    x = 268.56

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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.