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Finding the Fourth Proportional to 408.12, 611.73 and 164.49

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Solution

The fourth proportional to 408.12, 611.73 and 164.49 is: 246.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.12 : 611.73 = 164.49 : x
  2. Step 2: Convert to fraction form
    408.12/611.73 = 164.49/x
  3. Step 3: Cross multiply
    408.12x = 611.73 × 164.49
  4. Step 4: Simplify right side
    408.12x = 100,623.47
  5. Step 5: Solve for x
    x = 100,623.47/408.12
  6. Step 6: Final answer
    x = 246.55

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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.