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Finding the Fourth Proportional to 329.53, 494.42 and 167.08

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Solution

The fourth proportional to 329.53, 494.42 and 167.08 is: 250.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.53 : 494.42 = 167.08 : x
  2. Step 2: Convert to fraction form
    329.53/494.42 = 167.08/x
  3. Step 3: Cross multiply
    329.53x = 494.42 × 167.08
  4. Step 4: Simplify right side
    329.53x = 82,606.86
  5. Step 5: Solve for x
    x = 82,606.86/329.53
  6. Step 6: Final answer
    x = 250.68

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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.