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Finding the Fourth Proportional to 309.25, 426.56 and 198.55

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Solution

The fourth proportional to 309.25, 426.56 and 198.55 is: 273.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.25 : 426.56 = 198.55 : x
  2. Step 2: Convert to fraction form
    309.25/426.56 = 198.55/x
  3. Step 3: Cross multiply
    309.25x = 426.56 × 198.55
  4. Step 4: Simplify right side
    309.25x = 84,694.52
  5. Step 5: Solve for x
    x = 84,694.52/309.25
  6. Step 6: Final answer
    x = 273.87

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