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Finding the Fourth Proportional to 169.95, 232.76 and 164.49

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Solution

The fourth proportional to 169.95, 232.76 and 164.49 is: 225.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.95 : 232.76 = 164.49 : x
  2. Step 2: Convert to fraction form
    169.95/232.76 = 164.49/x
  3. Step 3: Cross multiply
    169.95x = 232.76 × 164.49
  4. Step 4: Simplify right side
    169.95x = 38,286.69
  5. Step 5: Solve for x
    x = 38,286.69/169.95
  6. Step 6: Final answer
    x = 225.28

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.