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Finding the Fourth Proportional to 227.12, 312.86 and 196.14

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Solution

The fourth proportional to 227.12, 312.86 and 196.14 is: 270.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.12 : 312.86 = 196.14 : x
  2. Step 2: Convert to fraction form
    227.12/312.86 = 196.14/x
  3. Step 3: Cross multiply
    227.12x = 312.86 × 196.14
  4. Step 4: Simplify right side
    227.12x = 61,364.36
  5. Step 5: Solve for x
    x = 61,364.36/227.12
  6. Step 6: Final answer
    x = 270.18

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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.