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Finding the Fourth Proportional to 408.46, 612.81 and 165.16

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Solution

The fourth proportional to 408.46, 612.81 and 165.16 is: 247.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.46 : 612.81 = 165.16 : x
  2. Step 2: Convert to fraction form
    408.46/612.81 = 165.16/x
  3. Step 3: Cross multiply
    408.46x = 612.81 × 165.16
  4. Step 4: Simplify right side
    408.46x = 101,209.55
  5. Step 5: Solve for x
    x = 101,209.55/408.46
  6. Step 6: Final answer
    x = 247.78

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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.