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Finding the Fourth Proportional to 408.85, 613.26 and 165.38

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Solution

The fourth proportional to 408.85, 613.26 and 165.38 is: 248.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.85 : 613.26 = 165.38 : x
  2. Step 2: Convert to fraction form
    408.85/613.26 = 165.38/x
  3. Step 3: Cross multiply
    408.85x = 613.26 × 165.38
  4. Step 4: Simplify right side
    408.85x = 101,417.87
  5. Step 5: Solve for x
    x = 101,417.87/408.85
  6. Step 6: Final answer
    x = 248.06

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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.