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Finding the Fourth Proportional to 378.97, 567.97 and 162.33

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Solution

The fourth proportional to 378.97, 567.97 and 162.33 is: 243.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.97 : 567.97 = 162.33 : x
  2. Step 2: Convert to fraction form
    378.97/567.97 = 162.33/x
  3. Step 3: Cross multiply
    378.97x = 567.97 × 162.33
  4. Step 4: Simplify right side
    378.97x = 92,198.57
  5. Step 5: Solve for x
    x = 92,198.57/378.97
  6. Step 6: Final answer
    x = 243.29

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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.