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Finding the Fourth Proportional to 263.73, 364.07 and 201.82

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Solution

The fourth proportional to 263.73, 364.07 and 201.82 is: 278.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.73 : 364.07 = 201.82 : x
  2. Step 2: Convert to fraction form
    263.73/364.07 = 201.82/x
  3. Step 3: Cross multiply
    263.73x = 364.07 × 201.82
  4. Step 4: Simplify right side
    263.73x = 73,476.61
  5. Step 5: Solve for x
    x = 73,476.61/263.73
  6. Step 6: Final answer
    x = 278.61

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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.