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Finding the Fourth Proportional to 409.22, 613.97 and 165.75

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Solution

The fourth proportional to 409.22, 613.97 and 165.75 is: 248.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.22 : 613.97 = 165.75 : x
  2. Step 2: Convert to fraction form
    409.22/613.97 = 165.75/x
  3. Step 3: Cross multiply
    409.22x = 613.97 × 165.75
  4. Step 4: Simplify right side
    409.22x = 101,764.70
  5. Step 5: Solve for x
    x = 101,764.70/409.22
  6. Step 6: Final answer
    x = 248.68

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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.