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Finding the Fourth Proportional to 311.65, 467.17 and 167.06

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Solution

The fourth proportional to 311.65, 467.17 and 167.06 is: 250.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.65 : 467.17 = 167.06 : x
  2. Step 2: Convert to fraction form
    311.65/467.17 = 167.06/x
  3. Step 3: Cross multiply
    311.65x = 467.17 × 167.06
  4. Step 4: Simplify right side
    311.65x = 78,046.17
  5. Step 5: Solve for x
    x = 78,046.17/311.65
  6. Step 6: Final answer
    x = 250.43

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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.