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Finding the Fourth Proportional to 262.73, 362.39 and 200.43

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Solution

The fourth proportional to 262.73, 362.39 and 200.43 is: 276.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.73 : 362.39 = 200.43 : x
  2. Step 2: Convert to fraction form
    262.73/362.39 = 200.43/x
  3. Step 3: Cross multiply
    262.73x = 362.39 × 200.43
  4. Step 4: Simplify right side
    262.73x = 72,633.83
  5. Step 5: Solve for x
    x = 72,633.83/262.73
  6. Step 6: Final answer
    x = 276.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.