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Finding the Fourth Proportional to 308.05, 462.13 and 145.73

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Solution

The fourth proportional to 308.05, 462.13 and 145.73 is: 218.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.05 : 462.13 = 145.73 : x
  2. Step 2: Convert to fraction form
    308.05/462.13 = 145.73/x
  3. Step 3: Cross multiply
    308.05x = 462.13 × 145.73
  4. Step 4: Simplify right side
    308.05x = 67,348.68
  5. Step 5: Solve for x
    x = 67,348.68/308.05
  6. Step 6: Final answer
    x = 218.63

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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.