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Finding the Fourth Proportional to 167.49, 230.81 and 109.17

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Solution

The fourth proportional to 167.49, 230.81 and 109.17 is: 150.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.49 : 230.81 = 109.17 : x
  2. Step 2: Convert to fraction form
    167.49/230.81 = 109.17/x
  3. Step 3: Cross multiply
    167.49x = 230.81 × 109.17
  4. Step 4: Simplify right side
    167.49x = 25,196.98
  5. Step 5: Solve for x
    x = 25,196.98/167.49
  6. Step 6: Final answer
    x = 150.44

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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.