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Finding the Fourth Proportional to 363.25, 544.41 and 168.24

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Solution

The fourth proportional to 363.25, 544.41 and 168.24 is: 252.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.25 : 544.41 = 168.24 : x
  2. Step 2: Convert to fraction form
    363.25/544.41 = 168.24/x
  3. Step 3: Cross multiply
    363.25x = 544.41 × 168.24
  4. Step 4: Simplify right side
    363.25x = 91,591.54
  5. Step 5: Solve for x
    x = 91,591.54/363.25
  6. Step 6: Final answer
    x = 252.14

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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.