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Finding the Fourth Proportional to 408.98, 613.54 and 165.68

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Solution

The fourth proportional to 408.98, 613.54 and 165.68 is: 248.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.98 : 613.54 = 165.68 : x
  2. Step 2: Convert to fraction form
    408.98/613.54 = 165.68/x
  3. Step 3: Cross multiply
    408.98x = 613.54 × 165.68
  4. Step 4: Simplify right side
    408.98x = 101,648.24
  5. Step 5: Solve for x
    x = 101,648.24/408.98
  6. Step 6: Final answer
    x = 248.54

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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.