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Finding the Fourth Proportional to 167.82, 231.39 and 109.50

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Solution

The fourth proportional to 167.82, 231.39 and 109.50 is: 150.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.82 : 231.39 = 109.50 : x
  2. Step 2: Convert to fraction form
    167.82/231.39 = 109.50/x
  3. Step 3: Cross multiply
    167.82x = 231.39 × 109.50
  4. Step 4: Simplify right side
    167.82x = 25,337.21
  5. Step 5: Solve for x
    x = 25,337.21/167.82
  6. Step 6: Final answer
    x = 150.98

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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.