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Finding the Fourth Proportional to 227.90, 313.71 and 198.74

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Solution

The fourth proportional to 227.90, 313.71 and 198.74 is: 273.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.90 : 313.71 = 198.74 : x
  2. Step 2: Convert to fraction form
    227.90/313.71 = 198.74/x
  3. Step 3: Cross multiply
    227.90x = 313.71 × 198.74
  4. Step 4: Simplify right side
    227.90x = 62,346.73
  5. Step 5: Solve for x
    x = 62,346.73/227.90
  6. Step 6: Final answer
    x = 273.57

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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.