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Finding the Fourth Proportional to 329.20, 493.98 and 166.89

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Solution

The fourth proportional to 329.20, 493.98 and 166.89 is: 250.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.20 : 493.98 = 166.89 : x
  2. Step 2: Convert to fraction form
    329.20/493.98 = 166.89/x
  3. Step 3: Cross multiply
    329.20x = 493.98 × 166.89
  4. Step 4: Simplify right side
    329.20x = 82,441.55
  5. Step 5: Solve for x
    x = 82,441.55/329.20
  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.