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Finding the Fourth Proportional to 609.11, 913.57 and 198.18

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Solution

The fourth proportional to 609.11, 913.57 and 198.18 is: 297.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.11 : 913.57 = 198.18 : x
  2. Step 2: Convert to fraction form
    609.11/913.57 = 198.18/x
  3. Step 3: Cross multiply
    609.11x = 913.57 × 198.18
  4. Step 4: Simplify right side
    609.11x = 181,051.30
  5. Step 5: Solve for x
    x = 181,051.30/609.11
  6. Step 6: Final answer
    x = 297.24

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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.