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Finding the Fourth Proportional to 262.10, 361.56 and 163.82

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Solution

The fourth proportional to 262.10, 361.56 and 163.82 is: 225.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.10 : 361.56 = 163.82 : x
  2. Step 2: Convert to fraction form
    262.10/361.56 = 163.82/x
  3. Step 3: Cross multiply
    262.10x = 361.56 × 163.82
  4. Step 4: Simplify right side
    262.10x = 59,232.28
  5. Step 5: Solve for x
    x = 59,232.28/262.10
  6. Step 6: Final answer
    x = 225.99

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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.