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Finding the Fourth Proportional to 227.70, 313.47 and 198.57

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Solution

The fourth proportional to 227.70, 313.47 and 198.57 is: 273.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.70 : 313.47 = 198.57 : x
  2. Step 2: Convert to fraction form
    227.70/313.47 = 198.57/x
  3. Step 3: Cross multiply
    227.70x = 313.47 × 198.57
  4. Step 4: Simplify right side
    227.70x = 62,245.74
  5. Step 5: Solve for x
    x = 62,245.74/227.70
  6. Step 6: Final answer
    x = 273.37

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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.