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Finding the Fourth Proportional to 308.43, 425.69 and 197.96

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Solution

The fourth proportional to 308.43, 425.69 and 197.96 is: 273.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.43 : 425.69 = 197.96 : x
  2. Step 2: Convert to fraction form
    308.43/425.69 = 197.96/x
  3. Step 3: Cross multiply
    308.43x = 425.69 × 197.96
  4. Step 4: Simplify right side
    308.43x = 84,266.47
  5. Step 5: Solve for x
    x = 84,266.47/308.43
  6. Step 6: Final answer
    x = 273.21

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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.