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Finding the Fourth Proportional to 609.82, 914.92 and 198.96

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Solution

The fourth proportional to 609.82, 914.92 and 198.96 is: 298.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.82 : 914.92 = 198.96 : x
  2. Step 2: Convert to fraction form
    609.82/914.92 = 198.96/x
  3. Step 3: Cross multiply
    609.82x = 914.92 × 198.96
  4. Step 4: Simplify right side
    609.82x = 182,032.48
  5. Step 5: Solve for x
    x = 182,032.48/609.82
  6. Step 6: Final answer
    x = 298.50

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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.