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Finding the Fourth Proportional to 163.78, 225.82 and 143.26

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Solution

The fourth proportional to 163.78, 225.82 and 143.26 is: 197.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.78 : 225.82 = 143.26 : x
  2. Step 2: Convert to fraction form
    163.78/225.82 = 143.26/x
  3. Step 3: Cross multiply
    163.78x = 225.82 × 143.26
  4. Step 4: Simplify right side
    163.78x = 32,350.97
  5. Step 5: Solve for x
    x = 32,350.97/163.78
  6. Step 6: Final answer
    x = 197.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.