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Finding the Fourth Proportional to 329.91, 495.09 and 167.55

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Solution

The fourth proportional to 329.91, 495.09 and 167.55 is: 251.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.91 : 495.09 = 167.55 : x
  2. Step 2: Convert to fraction form
    329.91/495.09 = 167.55/x
  3. Step 3: Cross multiply
    329.91x = 495.09 × 167.55
  4. Step 4: Simplify right side
    329.91x = 82,952.33
  5. Step 5: Solve for x
    x = 82,952.33/329.91
  6. Step 6: Final answer
    x = 251.44

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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.