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Finding the Fourth Proportional to 167.27, 230.72 and 164.57

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Solution

The fourth proportional to 167.27, 230.72 and 164.57 is: 226.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.27 : 230.72 = 164.57 : x
  2. Step 2: Convert to fraction form
    167.27/230.72 = 164.57/x
  3. Step 3: Cross multiply
    167.27x = 230.72 × 164.57
  4. Step 4: Simplify right side
    167.27x = 37,967.61
  5. Step 5: Solve for x
    x = 37,967.61/167.27
  6. Step 6: Final answer
    x = 226.99

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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.