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Finding the Fourth Proportional to 171.54, 255.66 and 165.73

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Solution

The fourth proportional to 171.54, 255.66 and 165.73 is: 247.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.54 : 255.66 = 165.73 : x
  2. Step 2: Convert to fraction form
    171.54/255.66 = 165.73/x
  3. Step 3: Cross multiply
    171.54x = 255.66 × 165.73
  4. Step 4: Simplify right side
    171.54x = 42,371.88
  5. Step 5: Solve for x
    x = 42,371.88/171.54
  6. Step 6: Final answer
    x = 247.00

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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.