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Finding the Fourth Proportional to 263.54, 363.87 and 201.70

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Solution

The fourth proportional to 263.54, 363.87 and 201.70 is: 278.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.54 : 363.87 = 201.70 : x
  2. Step 2: Convert to fraction form
    263.54/363.87 = 201.70/x
  3. Step 3: Cross multiply
    263.54x = 363.87 × 201.70
  4. Step 4: Simplify right side
    263.54x = 73,389.75
  5. Step 5: Solve for x
    x = 73,389.75/263.54
  6. Step 6: Final answer
    x = 278.48

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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.