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Finding the Fourth Proportional to 262.25, 361.82 and 163.97

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Solution

The fourth proportional to 262.25, 361.82 and 163.97 is: 226.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.25 : 361.82 = 163.97 : x
  2. Step 2: Convert to fraction form
    262.25/361.82 = 163.97/x
  3. Step 3: Cross multiply
    262.25x = 361.82 × 163.97
  4. Step 4: Simplify right side
    262.25x = 59,327.63
  5. Step 5: Solve for x
    x = 59,327.63/262.25
  6. Step 6: Final answer
    x = 226.23

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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.