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Finding the Fourth Proportional to 308.31, 462.68 and 164.13

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Solution

The fourth proportional to 308.31, 462.68 and 164.13 is: 246.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.31 : 462.68 = 164.13 : x
  2. Step 2: Convert to fraction form
    308.31/462.68 = 164.13/x
  3. Step 3: Cross multiply
    308.31x = 462.68 × 164.13
  4. Step 4: Simplify right side
    308.31x = 75,938.85
  5. Step 5: Solve for x
    x = 75,938.85/308.31
  6. Step 6: Final answer
    x = 246.31

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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.