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Finding the Fourth Proportional to 262.97, 394.34 and 180.73

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Solution

The fourth proportional to 262.97, 394.34 and 180.73 is: 271.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.97 : 394.34 = 180.73 : x
  2. Step 2: Convert to fraction form
    262.97/394.34 = 180.73/x
  3. Step 3: Cross multiply
    262.97x = 394.34 × 180.73
  4. Step 4: Simplify right side
    262.97x = 71,269.07
  5. Step 5: Solve for x
    x = 71,269.07/262.97
  6. Step 6: Final answer
    x = 271.02

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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.