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Finding the Fourth Proportional to 192.26, 287.97 and 163.22

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Solution

The fourth proportional to 192.26, 287.97 and 163.22 is: 244.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.26 : 287.97 = 163.22 : x
  2. Step 2: Convert to fraction form
    192.26/287.97 = 163.22/x
  3. Step 3: Cross multiply
    192.26x = 287.97 × 163.22
  4. Step 4: Simplify right side
    192.26x = 47,002.46
  5. Step 5: Solve for x
    x = 47,002.46/192.26
  6. Step 6: Final answer
    x = 244.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.