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Finding the Fourth Proportional to 167.82, 231.50 and 109.50

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Solution

The fourth proportional to 167.82, 231.50 and 109.50 is: 151.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.82 : 231.50 = 109.50 : x
  2. Step 2: Convert to fraction form
    167.82/231.50 = 109.50/x
  3. Step 3: Cross multiply
    167.82x = 231.50 × 109.50
  4. Step 4: Simplify right side
    167.82x = 25,348.70
  5. Step 5: Solve for x
    x = 25,348.70/167.82
  6. Step 6: Final answer
    x = 151.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.