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Finding the Fourth Proportional to 609.09, 913.77 and 198.22

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Solution

The fourth proportional to 609.09, 913.77 and 198.22 is: 297.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.09 : 913.77 = 198.22 : x
  2. Step 2: Convert to fraction form
    609.09/913.77 = 198.22/x
  3. Step 3: Cross multiply
    609.09x = 913.77 × 198.22
  4. Step 4: Simplify right side
    609.09x = 181,131.67
  5. Step 5: Solve for x
    x = 181,131.67/609.09
  6. Step 6: Final answer
    x = 297.38

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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.