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Finding the Fourth Proportional to 262.18, 361.83 and 196.57

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Solution

The fourth proportional to 262.18, 361.83 and 196.57 is: 271.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.18 : 361.83 = 196.57 : x
  2. Step 2: Convert to fraction form
    262.18/361.83 = 196.57/x
  3. Step 3: Cross multiply
    262.18x = 361.83 × 196.57
  4. Step 4: Simplify right side
    262.18x = 71,124.92
  5. Step 5: Solve for x
    x = 71,124.92/262.18
  6. Step 6: Final answer
    x = 271.28

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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.