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Finding the Fourth Proportional to 329.78, 494.88 and 137.40

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Solution

The fourth proportional to 329.78, 494.88 and 137.40 is: 206.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.78 : 494.88 = 137.40 : x
  2. Step 2: Convert to fraction form
    329.78/494.88 = 137.40/x
  3. Step 3: Cross multiply
    329.78x = 494.88 × 137.40
  4. Step 4: Simplify right side
    329.78x = 67,996.51
  5. Step 5: Solve for x
    x = 67,996.51/329.78
  6. Step 6: Final answer
    x = 206.19

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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.