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Finding the Fourth Proportional to 173.26, 237.67 and 169.66

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Solution

The fourth proportional to 173.26, 237.67 and 169.66 is: 232.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.26 : 237.67 = 169.66 : x
  2. Step 2: Convert to fraction form
    173.26/237.67 = 169.66/x
  3. Step 3: Cross multiply
    173.26x = 237.67 × 169.66
  4. Step 4: Simplify right side
    173.26x = 40,323.09
  5. Step 5: Solve for x
    x = 40,323.09/173.26
  6. Step 6: Final answer
    x = 232.73

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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.