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Finding the Fourth Proportional to 262.25, 361.81 and 163.84

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Solution

The fourth proportional to 262.25, 361.81 and 163.84 is: 226.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.25 : 361.81 = 163.84 : x
  2. Step 2: Convert to fraction form
    262.25/361.81 = 163.84/x
  3. Step 3: Cross multiply
    262.25x = 361.81 × 163.84
  4. Step 4: Simplify right side
    262.25x = 59,278.95
  5. Step 5: Solve for x
    x = 59,278.95/262.25
  6. Step 6: Final answer
    x = 226.04

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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.