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Finding the Fourth Proportional to 263.99, 395.66 and 186.97

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Solution

The fourth proportional to 263.99, 395.66 and 186.97 is: 280.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.99 : 395.66 = 186.97 : x
  2. Step 2: Convert to fraction form
    263.99/395.66 = 186.97/x
  3. Step 3: Cross multiply
    263.99x = 395.66 × 186.97
  4. Step 4: Simplify right side
    263.99x = 73,977.54
  5. Step 5: Solve for x
    x = 73,977.54/263.99
  6. Step 6: Final answer
    x = 280.23

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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.