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Finding the Fourth Proportional to 418.20, 627.14 and 198.74

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Solution

The fourth proportional to 418.20, 627.14 and 198.74 is: 298.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.20 : 627.14 = 198.74 : x
  2. Step 2: Convert to fraction form
    418.20/627.14 = 198.74/x
  3. Step 3: Cross multiply
    418.20x = 627.14 × 198.74
  4. Step 4: Simplify right side
    418.20x = 124,637.80
  5. Step 5: Solve for x
    x = 124,637.80/418.20
  6. Step 6: Final answer
    x = 298.03

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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.