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Finding the Fourth Proportional to 168.27, 250.89 and 164.07

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Solution

The fourth proportional to 168.27, 250.89 and 164.07 is: 244.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.27 : 250.89 = 164.07 : x
  2. Step 2: Convert to fraction form
    168.27/250.89 = 164.07/x
  3. Step 3: Cross multiply
    168.27x = 250.89 × 164.07
  4. Step 4: Simplify right side
    168.27x = 41,163.52
  5. Step 5: Solve for x
    x = 41,163.52/168.27
  6. Step 6: Final answer
    x = 244.63

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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.