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Finding the Fourth Proportional to 227.12, 313.07 and 144.20

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Solution

The fourth proportional to 227.12, 313.07 and 144.20 is: 198.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.12 : 313.07 = 144.20 : x
  2. Step 2: Convert to fraction form
    227.12/313.07 = 144.20/x
  3. Step 3: Cross multiply
    227.12x = 313.07 × 144.20
  4. Step 4: Simplify right side
    227.12x = 45,142.41
  5. Step 5: Solve for x
    x = 45,142.41/227.12
  6. Step 6: Final answer
    x = 198.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.