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Finding the Fourth Proportional to 308.04, 462.11 and 145.71

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Solution

The fourth proportional to 308.04, 462.11 and 145.71 is: 218.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.04 : 462.11 = 145.71 : x
  2. Step 2: Convert to fraction form
    308.04/462.11 = 145.71/x
  3. Step 3: Cross multiply
    308.04x = 462.11 × 145.71
  4. Step 4: Simplify right side
    308.04x = 67,333.32
  5. Step 5: Solve for x
    x = 67,333.32/308.04
  6. Step 6: Final answer
    x = 218.59

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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.