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Finding the Fourth Proportional to 609.13, 913.74 and 198.23

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Solution

The fourth proportional to 609.13, 913.74 and 198.23 is: 297.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.13 : 913.74 = 198.23 : x
  2. Step 2: Convert to fraction form
    609.13/913.74 = 198.23/x
  3. Step 3: Cross multiply
    609.13x = 913.74 × 198.23
  4. Step 4: Simplify right side
    609.13x = 181,129.69
  5. Step 5: Solve for x
    x = 181,129.69/609.13
  6. Step 6: Final answer
    x = 297.36

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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.