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Finding the Fourth Proportional to 408.06, 612.11 and 164.55

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Solution

The fourth proportional to 408.06, 612.11 and 164.55 is: 246.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.06 : 612.11 = 164.55 : x
  2. Step 2: Convert to fraction form
    408.06/612.11 = 164.55/x
  3. Step 3: Cross multiply
    408.06x = 612.11 × 164.55
  4. Step 4: Simplify right side
    408.06x = 100,722.70
  5. Step 5: Solve for x
    x = 100,722.70/408.06
  6. Step 6: Final answer
    x = 246.83

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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.