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Finding the Fourth Proportional to 227.82, 314.29 and 140.44

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Solution

The fourth proportional to 227.82, 314.29 and 140.44 is: 193.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.82 : 314.29 = 140.44 : x
  2. Step 2: Convert to fraction form
    227.82/314.29 = 140.44/x
  3. Step 3: Cross multiply
    227.82x = 314.29 × 140.44
  4. Step 4: Simplify right side
    227.82x = 44,138.89
  5. Step 5: Solve for x
    x = 44,138.89/227.82
  6. Step 6: Final answer
    x = 193.74

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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.