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Finding the Fourth Proportional to 167.62, 251.09 and 162.76

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Solution

The fourth proportional to 167.62, 251.09 and 162.76 is: 243.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.62 : 251.09 = 162.76 : x
  2. Step 2: Convert to fraction form
    167.62/251.09 = 162.76/x
  3. Step 3: Cross multiply
    167.62x = 251.09 × 162.76
  4. Step 4: Simplify right side
    167.62x = 40,867.41
  5. Step 5: Solve for x
    x = 40,867.41/167.62
  6. Step 6: Final answer
    x = 243.81

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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.