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Finding the Fourth Proportional to 262.82, 394.31 and 80.23

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Solution

The fourth proportional to 262.82, 394.31 and 80.23 is: 120.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.82 : 394.31 = 80.23 : x
  2. Step 2: Convert to fraction form
    262.82/394.31 = 80.23/x
  3. Step 3: Cross multiply
    262.82x = 394.31 × 80.23
  4. Step 4: Simplify right side
    262.82x = 31,635.09
  5. Step 5: Solve for x
    x = 31,635.09/262.82
  6. Step 6: Final answer
    x = 120.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.