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Finding the Fourth Proportional to 167.69, 251.09 and 109.75

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Solution

The fourth proportional to 167.69, 251.09 and 109.75 is: 164.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.69 : 251.09 = 109.75 : x
  2. Step 2: Convert to fraction form
    167.69/251.09 = 109.75/x
  3. Step 3: Cross multiply
    167.69x = 251.09 × 109.75
  4. Step 4: Simplify right side
    167.69x = 27,557.13
  5. Step 5: Solve for x
    x = 27,557.13/167.69
  6. Step 6: Final answer
    x = 164.33

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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.