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Finding the Fourth Proportional to 609.17, 913.52 and 198.20

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Solution

The fourth proportional to 609.17, 913.52 and 198.20 is: 297.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.17 : 913.52 = 198.20 : x
  2. Step 2: Convert to fraction form
    609.17/913.52 = 198.20/x
  3. Step 3: Cross multiply
    609.17x = 913.52 × 198.20
  4. Step 4: Simplify right side
    609.17x = 181,062.44
  5. Step 5: Solve for x
    x = 181,062.44/609.17
  6. Step 6: Final answer
    x = 297.23

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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.