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Finding the Fourth Proportional to 408.13, 611.86 and 164.59

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Solution

The fourth proportional to 408.13, 611.86 and 164.59 is: 246.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.13 : 611.86 = 164.59 : x
  2. Step 2: Convert to fraction form
    408.13/611.86 = 164.59/x
  3. Step 3: Cross multiply
    408.13x = 611.86 × 164.59
  4. Step 4: Simplify right side
    408.13x = 100,706.04
  5. Step 5: Solve for x
    x = 100,706.04/408.13
  6. Step 6: Final answer
    x = 246.75

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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.