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Finding the Fourth Proportional to 227.70, 313.86 and 196.52

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Solution

The fourth proportional to 227.70, 313.86 and 196.52 is: 270.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.70 : 313.86 = 196.52 : x
  2. Step 2: Convert to fraction form
    227.70/313.86 = 196.52/x
  3. Step 3: Cross multiply
    227.70x = 313.86 × 196.52
  4. Step 4: Simplify right side
    227.70x = 61,679.77
  5. Step 5: Solve for x
    x = 61,679.77/227.70
  6. Step 6: Final answer
    x = 270.88

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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.