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Finding the Fourth Proportional to 167.27, 250.80 and 80.63

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Solution

The fourth proportional to 167.27, 250.80 and 80.63 is: 120.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.27 : 250.80 = 80.63 : x
  2. Step 2: Convert to fraction form
    167.27/250.80 = 80.63/x
  3. Step 3: Cross multiply
    167.27x = 250.80 × 80.63
  4. Step 4: Simplify right side
    167.27x = 20,222.07
  5. Step 5: Solve for x
    x = 20,222.07/167.27
  6. Step 6: Final answer
    x = 120.89

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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.