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Finding the Fourth Proportional to 408.41, 612.10 and 164.80

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Solution

The fourth proportional to 408.41, 612.10 and 164.80 is: 246.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.41 : 612.10 = 164.80 : x
  2. Step 2: Convert to fraction form
    408.41/612.10 = 164.80/x
  3. Step 3: Cross multiply
    408.41x = 612.10 × 164.80
  4. Step 4: Simplify right side
    408.41x = 100,874.08
  5. Step 5: Solve for x
    x = 100,874.08/408.41
  6. Step 6: Final answer
    x = 246.99

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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.