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Finding the Fourth Proportional to 227.86, 313.50 and 201.43

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Solution

The fourth proportional to 227.86, 313.50 and 201.43 is: 277.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.86 : 313.50 = 201.43 : x
  2. Step 2: Convert to fraction form
    227.86/313.50 = 201.43/x
  3. Step 3: Cross multiply
    227.86x = 313.50 × 201.43
  4. Step 4: Simplify right side
    227.86x = 63,148.31
  5. Step 5: Solve for x
    x = 63,148.31/227.86
  6. Step 6: Final answer
    x = 277.14

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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.