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Finding the Fourth Proportional to 418.54, 627.81 and 129.91

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Solution

The fourth proportional to 418.54, 627.81 and 129.91 is: 194.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.54 : 627.81 = 129.91 : x
  2. Step 2: Convert to fraction form
    418.54/627.81 = 129.91/x
  3. Step 3: Cross multiply
    418.54x = 627.81 × 129.91
  4. Step 4: Simplify right side
    418.54x = 81,558.80
  5. Step 5: Solve for x
    x = 81,558.80/418.54
  6. Step 6: Final answer
    x = 194.87

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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.