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Finding the Fourth Proportional to 173.22, 258.13 and 167.41

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Solution

The fourth proportional to 173.22, 258.13 and 167.41 is: 249.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.22 : 258.13 = 167.41 : x
  2. Step 2: Convert to fraction form
    173.22/258.13 = 167.41/x
  3. Step 3: Cross multiply
    173.22x = 258.13 × 167.41
  4. Step 4: Simplify right side
    173.22x = 43,213.54
  5. Step 5: Solve for x
    x = 43,213.54/173.22
  6. Step 6: Final answer
    x = 249.47

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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.