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Finding the Fourth Proportional to 329.56, 493.93 and 167.29

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Solution

The fourth proportional to 329.56, 493.93 and 167.29 is: 250.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.56 : 493.93 = 167.29 : x
  2. Step 2: Convert to fraction form
    329.56/493.93 = 167.29/x
  3. Step 3: Cross multiply
    329.56x = 493.93 × 167.29
  4. Step 4: Simplify right side
    329.56x = 82,629.55
  5. Step 5: Solve for x
    x = 82,629.55/329.56
  6. Step 6: Final answer
    x = 250.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.