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Finding the Fourth Proportional to 329.21, 494.09 and 136.97

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Solution

The fourth proportional to 329.21, 494.09 and 136.97 is: 205.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.21 : 494.09 = 136.97 : x
  2. Step 2: Convert to fraction form
    329.21/494.09 = 136.97/x
  3. Step 3: Cross multiply
    329.21x = 494.09 × 136.97
  4. Step 4: Simplify right side
    329.21x = 67,672.35
  5. Step 5: Solve for x
    x = 67,672.35/329.21
  6. Step 6: Final answer
    x = 205.56

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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.