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Finding the Fourth Proportional to 329.97, 494.96 and 137.59

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Solution

The fourth proportional to 329.97, 494.96 and 137.59 is: 206.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.97 : 494.96 = 137.59 : x
  2. Step 2: Convert to fraction form
    329.97/494.96 = 137.59/x
  3. Step 3: Cross multiply
    329.97x = 494.96 × 137.59
  4. Step 4: Simplify right side
    329.97x = 68,101.55
  5. Step 5: Solve for x
    x = 68,101.55/329.97
  6. Step 6: Final answer
    x = 206.39

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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.