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Finding the Fourth Proportional to 167.27, 249.21 and 160.25

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Solution

The fourth proportional to 167.27, 249.21 and 160.25 is: 238.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.27 : 249.21 = 160.25 : x
  2. Step 2: Convert to fraction form
    167.27/249.21 = 160.25/x
  3. Step 3: Cross multiply
    167.27x = 249.21 × 160.25
  4. Step 4: Simplify right side
    167.27x = 39,934.66
  5. Step 5: Solve for x
    x = 39,934.66/167.27
  6. Step 6: Final answer
    x = 238.75

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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.