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Finding the Fourth Proportional to 408.31, 612.51 and 164.84

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Solution

The fourth proportional to 408.31, 612.51 and 164.84 is: 247.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.31 : 612.51 = 164.84 : x
  2. Step 2: Convert to fraction form
    408.31/612.51 = 164.84/x
  3. Step 3: Cross multiply
    408.31x = 612.51 × 164.84
  4. Step 4: Simplify right side
    408.31x = 100,966.15
  5. Step 5: Solve for x
    x = 100,966.15/408.31
  6. Step 6: Final answer
    x = 247.28

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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.