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Finding the Fourth Proportional to 167.74, 250.96 and 148.27

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Solution

The fourth proportional to 167.74, 250.96 and 148.27 is: 221.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.74 : 250.96 = 148.27 : x
  2. Step 2: Convert to fraction form
    167.74/250.96 = 148.27/x
  3. Step 3: Cross multiply
    167.74x = 250.96 × 148.27
  4. Step 4: Simplify right side
    167.74x = 37,209.84
  5. Step 5: Solve for x
    x = 37,209.84/167.74
  6. Step 6: Final answer
    x = 221.83

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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.