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Finding the Fourth Proportional to 163.78, 225.81 and 108.43

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Solution

The fourth proportional to 163.78, 225.81 and 108.43 is: 149.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.78 : 225.81 = 108.43 : x
  2. Step 2: Convert to fraction form
    163.78/225.81 = 108.43/x
  3. Step 3: Cross multiply
    163.78x = 225.81 × 108.43
  4. Step 4: Simplify right side
    163.78x = 24,484.01
  5. Step 5: Solve for x
    x = 24,484.01/163.78
  6. Step 6: Final answer
    x = 149.50

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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.