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Finding the Fourth Proportional to 167.27, 230.78 and 109.08

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Solution

The fourth proportional to 167.27, 230.78 and 109.08 is: 150.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.27 : 230.78 = 109.08 : x
  2. Step 2: Convert to fraction form
    167.27/230.78 = 109.08/x
  3. Step 3: Cross multiply
    167.27x = 230.78 × 109.08
  4. Step 4: Simplify right side
    167.27x = 25,172.94
  5. Step 5: Solve for x
    x = 25,172.94/167.27
  6. Step 6: Final answer
    x = 150.50

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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.