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Finding the Fourth Proportional to 227.31, 313.75 and 144.48

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Solution

The fourth proportional to 227.31, 313.75 and 144.48 is: 199.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.31 : 313.75 = 144.48 : x
  2. Step 2: Convert to fraction form
    227.31/313.75 = 144.48/x
  3. Step 3: Cross multiply
    227.31x = 313.75 × 144.48
  4. Step 4: Simplify right side
    227.31x = 45,329.03
  5. Step 5: Solve for x
    x = 45,329.03/227.31
  6. Step 6: Final answer
    x = 199.42

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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.