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Finding the Fourth Proportional to 408.08, 611.92 and 164.41

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Solution

The fourth proportional to 408.08, 611.92 and 164.41 is: 246.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.08 : 611.92 = 164.41 : x
  2. Step 2: Convert to fraction form
    408.08/611.92 = 164.41/x
  3. Step 3: Cross multiply
    408.08x = 611.92 × 164.41
  4. Step 4: Simplify right side
    408.08x = 100,605.77
  5. Step 5: Solve for x
    x = 100,605.77/408.08
  6. Step 6: Final answer
    x = 246.53

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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.