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Finding the Fourth Proportional to 329.14, 493.48 and 166.78

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Solution

The fourth proportional to 329.14, 493.48 and 166.78 is: 250.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.14 : 493.48 = 166.78 : x
  2. Step 2: Convert to fraction form
    329.14/493.48 = 166.78/x
  3. Step 3: Cross multiply
    329.14x = 493.48 × 166.78
  4. Step 4: Simplify right side
    329.14x = 82,302.59
  5. Step 5: Solve for x
    x = 82,302.59/329.14
  6. Step 6: Final answer
    x = 250.05

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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.