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Finding the Fourth Proportional to 169.92, 234.09 and 164.25

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Solution

The fourth proportional to 169.92, 234.09 and 164.25 is: 226.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.92 : 234.09 = 164.25 : x
  2. Step 2: Convert to fraction form
    169.92/234.09 = 164.25/x
  3. Step 3: Cross multiply
    169.92x = 234.09 × 164.25
  4. Step 4: Simplify right side
    169.92x = 38,449.28
  5. Step 5: Solve for x
    x = 38,449.28/169.92
  6. Step 6: Final answer
    x = 226.28

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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.