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Finding the Fourth Proportional to 609.16, 913.76 and 198.36

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Solution

The fourth proportional to 609.16, 913.76 and 198.36 is: 297.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.16 : 913.76 = 198.36 : x
  2. Step 2: Convert to fraction form
    609.16/913.76 = 198.36/x
  3. Step 3: Cross multiply
    609.16x = 913.76 × 198.36
  4. Step 4: Simplify right side
    609.16x = 181,253.43
  5. Step 5: Solve for x
    x = 181,253.43/609.16
  6. Step 6: Final answer
    x = 297.55

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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.