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Finding the Fourth Proportional to 408.20, 612.74 and 164.89

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Solution

The fourth proportional to 408.20, 612.74 and 164.89 is: 247.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.20 : 612.74 = 164.89 : x
  2. Step 2: Convert to fraction form
    408.20/612.74 = 164.89/x
  3. Step 3: Cross multiply
    408.20x = 612.74 × 164.89
  4. Step 4: Simplify right side
    408.20x = 101,033.58
  5. Step 5: Solve for x
    x = 101,033.58/408.20
  6. Step 6: Final answer
    x = 247.51

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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.