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Finding the Fourth Proportional to 308.68, 425.85 and 198.14

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Solution

The fourth proportional to 308.68, 425.85 and 198.14 is: 273.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.68 : 425.85 = 198.14 : x
  2. Step 2: Convert to fraction form
    308.68/425.85 = 198.14/x
  3. Step 3: Cross multiply
    308.68x = 425.85 × 198.14
  4. Step 4: Simplify right side
    308.68x = 84,375.79
  5. Step 5: Solve for x
    x = 84,375.79/308.68
  6. Step 6: Final answer
    x = 273.35

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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.