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Finding the Fourth Proportional to 227.06, 313.23 and 144.14

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Solution

The fourth proportional to 227.06, 313.23 and 144.14 is: 198.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.06 : 313.23 = 144.14 : x
  2. Step 2: Convert to fraction form
    227.06/313.23 = 144.14/x
  3. Step 3: Cross multiply
    227.06x = 313.23 × 144.14
  4. Step 4: Simplify right side
    227.06x = 45,147.41
  5. Step 5: Solve for x
    x = 45,147.41/227.06
  6. Step 6: Final answer
    x = 198.83

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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.