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Finding the Fourth Proportional to 408.15, 612.10 and 164.79

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Solution

The fourth proportional to 408.15, 612.10 and 164.79 is: 247.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.15 : 612.10 = 164.79 : x
  2. Step 2: Convert to fraction form
    408.15/612.10 = 164.79/x
  3. Step 3: Cross multiply
    408.15x = 612.10 × 164.79
  4. Step 4: Simplify right side
    408.15x = 100,867.96
  5. Step 5: Solve for x
    x = 100,867.96/408.15
  6. Step 6: Final answer
    x = 247.13

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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.