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Finding the Fourth Proportional to 275.43, 380.22 and 163.39

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Solution

The fourth proportional to 275.43, 380.22 and 163.39 is: 225.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.43 : 380.22 = 163.39 : x
  2. Step 2: Convert to fraction form
    275.43/380.22 = 163.39/x
  3. Step 3: Cross multiply
    275.43x = 380.22 × 163.39
  4. Step 4: Simplify right side
    275.43x = 62,124.15
  5. Step 5: Solve for x
    x = 62,124.15/275.43
  6. Step 6: Final answer
    x = 225.55

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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.