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Finding the Fourth Proportional to 172.20, 259.73 and 166.73

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Solution

The fourth proportional to 172.20, 259.73 and 166.73 is: 251.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.20 : 259.73 = 166.73 : x
  2. Step 2: Convert to fraction form
    172.20/259.73 = 166.73/x
  3. Step 3: Cross multiply
    172.20x = 259.73 × 166.73
  4. Step 4: Simplify right side
    172.20x = 43,304.78
  5. Step 5: Solve for x
    x = 43,304.78/172.20
  6. Step 6: Final answer
    x = 251.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.