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Finding the Fourth Proportional to 168.14, 250.44 and 159.47

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Solution

The fourth proportional to 168.14, 250.44 and 159.47 is: 237.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.14 : 250.44 = 159.47 : x
  2. Step 2: Convert to fraction form
    168.14/250.44 = 159.47/x
  3. Step 3: Cross multiply
    168.14x = 250.44 × 159.47
  4. Step 4: Simplify right side
    168.14x = 39,936.41
  5. Step 5: Solve for x
    x = 39,936.41/168.14
  6. Step 6: Final answer
    x = 237.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.