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Finding the Fourth Proportional to 167.62, 230.82 and 164.02

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Solution

The fourth proportional to 167.62, 230.82 and 164.02 is: 225.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.62 : 230.82 = 164.02 : x
  2. Step 2: Convert to fraction form
    167.62/230.82 = 164.02/x
  3. Step 3: Cross multiply
    167.62x = 230.82 × 164.02
  4. Step 4: Simplify right side
    167.62x = 37,859.10
  5. Step 5: Solve for x
    x = 37,859.10/167.62
  6. Step 6: Final answer
    x = 225.86

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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.