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Finding the Fourth Proportional to 363.14, 544.51 and 168.03

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Solution

The fourth proportional to 363.14, 544.51 and 168.03 is: 251.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.14 : 544.51 = 168.03 : x
  2. Step 2: Convert to fraction form
    363.14/544.51 = 168.03/x
  3. Step 3: Cross multiply
    363.14x = 544.51 × 168.03
  4. Step 4: Simplify right side
    363.14x = 91,494.23
  5. Step 5: Solve for x
    x = 91,494.23/363.14
  6. Step 6: Final answer
    x = 251.95

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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.