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Finding the Fourth Proportional to 171.12, 255.06 and 166.20

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Solution

The fourth proportional to 171.12, 255.06 and 166.20 is: 247.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.12 : 255.06 = 166.20 : x
  2. Step 2: Convert to fraction form
    171.12/255.06 = 166.20/x
  3. Step 3: Cross multiply
    171.12x = 255.06 × 166.20
  4. Step 4: Simplify right side
    171.12x = 42,390.97
  5. Step 5: Solve for x
    x = 42,390.97/171.12
  6. Step 6: Final answer
    x = 247.73

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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.