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Finding the Fourth Proportional to 262.26, 361.77 and 163.94

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Solution

The fourth proportional to 262.26, 361.77 and 163.94 is: 226.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.26 : 361.77 = 163.94 : x
  2. Step 2: Convert to fraction form
    262.26/361.77 = 163.94/x
  3. Step 3: Cross multiply
    262.26x = 361.77 × 163.94
  4. Step 4: Simplify right side
    262.26x = 59,308.57
  5. Step 5: Solve for x
    x = 59,308.57/262.26
  6. Step 6: Final answer
    x = 226.14

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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.