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Finding the Fourth Proportional to 329.90, 493.93 and 166.78

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Solution

The fourth proportional to 329.90, 493.93 and 166.78 is: 249.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.90 : 493.93 = 166.78 : x
  2. Step 2: Convert to fraction form
    329.90/493.93 = 166.78/x
  3. Step 3: Cross multiply
    329.90x = 493.93 × 166.78
  4. Step 4: Simplify right side
    329.90x = 82,377.65
  5. Step 5: Solve for x
    x = 82,377.65/329.90
  6. Step 6: Final answer
    x = 249.71

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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.