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Finding the Fourth Proportional to 408.55, 612.96 and 164.95

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Solution

The fourth proportional to 408.55, 612.96 and 164.95 is: 247.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.55 : 612.96 = 164.95 : x
  2. Step 2: Convert to fraction form
    408.55/612.96 = 164.95/x
  3. Step 3: Cross multiply
    408.55x = 612.96 × 164.95
  4. Step 4: Simplify right side
    408.55x = 101,107.75
  5. Step 5: Solve for x
    x = 101,107.75/408.55
  6. Step 6: Final answer
    x = 247.48

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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.