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Finding the Fourth Proportional to 167.92, 251.64 and 119.44

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Solution

The fourth proportional to 167.92, 251.64 and 119.44 is: 178.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.92 : 251.64 = 119.44 : x
  2. Step 2: Convert to fraction form
    167.92/251.64 = 119.44/x
  3. Step 3: Cross multiply
    167.92x = 251.64 × 119.44
  4. Step 4: Simplify right side
    167.92x = 30,055.88
  5. Step 5: Solve for x
    x = 30,055.88/167.92
  6. Step 6: Final answer
    x = 178.99

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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.