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Finding the Fourth Proportional to 227.87, 314.43 and 140.51

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Solution

The fourth proportional to 227.87, 314.43 and 140.51 is: 193.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.87 : 314.43 = 140.51 : x
  2. Step 2: Convert to fraction form
    227.87/314.43 = 140.51/x
  3. Step 3: Cross multiply
    227.87x = 314.43 × 140.51
  4. Step 4: Simplify right side
    227.87x = 44,180.56
  5. Step 5: Solve for x
    x = 44,180.56/227.87
  6. Step 6: Final answer
    x = 193.88

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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.