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Finding the Fourth Proportional to 227.97, 315.14 and 181.80

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Solution

The fourth proportional to 227.97, 315.14 and 181.80 is: 251.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.97 : 315.14 = 181.80 : x
  2. Step 2: Convert to fraction form
    227.97/315.14 = 181.80/x
  3. Step 3: Cross multiply
    227.97x = 315.14 × 181.80
  4. Step 4: Simplify right side
    227.97x = 57,291.54
  5. Step 5: Solve for x
    x = 57,291.54/227.97
  6. Step 6: Final answer
    x = 251.31

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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.