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Finding the Fourth Proportional to 329.41, 494.10 and 137.04

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Solution

The fourth proportional to 329.41, 494.10 and 137.04 is: 205.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.41 : 494.10 = 137.04 : x
  2. Step 2: Convert to fraction form
    329.41/494.10 = 137.04/x
  3. Step 3: Cross multiply
    329.41x = 494.10 × 137.04
  4. Step 4: Simplify right side
    329.41x = 67,711.46
  5. Step 5: Solve for x
    x = 67,711.46/329.41
  6. Step 6: Final answer
    x = 205.55

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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.