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Finding the Fourth Proportional to 167.15, 250.85 and 109.23

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Solution

The fourth proportional to 167.15, 250.85 and 109.23 is: 163.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.15 : 250.85 = 109.23 : x
  2. Step 2: Convert to fraction form
    167.15/250.85 = 109.23/x
  3. Step 3: Cross multiply
    167.15x = 250.85 × 109.23
  4. Step 4: Simplify right side
    167.15x = 27,399.80
  5. Step 5: Solve for x
    x = 27,399.80/167.15
  6. Step 6: Final answer
    x = 163.93

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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.