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Finding the Fourth Proportional to 308.07, 462.31 and 205.61

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Solution

The fourth proportional to 308.07, 462.31 and 205.61 is: 308.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.07 : 462.31 = 205.61 : x
  2. Step 2: Convert to fraction form
    308.07/462.31 = 205.61/x
  3. Step 3: Cross multiply
    308.07x = 462.31 × 205.61
  4. Step 4: Simplify right side
    308.07x = 95,052.73
  5. Step 5: Solve for x
    x = 95,052.73/308.07
  6. Step 6: Final answer
    x = 308.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.