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Finding the Fourth Proportional to 329.53, 494.31 and 167.17

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Solution

The fourth proportional to 329.53, 494.31 and 167.17 is: 250.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.53 : 494.31 = 167.17 : x
  2. Step 2: Convert to fraction form
    329.53/494.31 = 167.17/x
  3. Step 3: Cross multiply
    329.53x = 494.31 × 167.17
  4. Step 4: Simplify right side
    329.53x = 82,633.80
  5. Step 5: Solve for x
    x = 82,633.80/329.53
  6. Step 6: Final answer
    x = 250.76

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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.