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Finding the Fourth Proportional to 171.45, 255.36 and 169.56

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Solution

The fourth proportional to 171.45, 255.36 and 169.56 is: 252.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.45 : 255.36 = 169.56 : x
  2. Step 2: Convert to fraction form
    171.45/255.36 = 169.56/x
  3. Step 3: Cross multiply
    171.45x = 255.36 × 169.56
  4. Step 4: Simplify right side
    171.45x = 43,298.84
  5. Step 5: Solve for x
    x = 43,298.84/171.45
  6. Step 6: Final answer
    x = 252.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.