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Finding the Fourth Proportional to 263.82, 363.66 and 201.50

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Solution

The fourth proportional to 263.82, 363.66 and 201.50 is: 277.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.82 : 363.66 = 201.50 : x
  2. Step 2: Convert to fraction form
    263.82/363.66 = 201.50/x
  3. Step 3: Cross multiply
    263.82x = 363.66 × 201.50
  4. Step 4: Simplify right side
    263.82x = 73,277.49
  5. Step 5: Solve for x
    x = 73,277.49/263.82
  6. Step 6: Final answer
    x = 277.76

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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.