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Finding the Fourth Proportional to 167.38, 229.48 and 164.44

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Solution

The fourth proportional to 167.38, 229.48 and 164.44 is: 225.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.38 : 229.48 = 164.44 : x
  2. Step 2: Convert to fraction form
    167.38/229.48 = 164.44/x
  3. Step 3: Cross multiply
    167.38x = 229.48 × 164.44
  4. Step 4: Simplify right side
    167.38x = 37,735.69
  5. Step 5: Solve for x
    x = 37,735.69/167.38
  6. Step 6: Final answer
    x = 225.45

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.