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Finding the Fourth Proportional to 227.68, 314.22 and 140.44

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Solution

The fourth proportional to 227.68, 314.22 and 140.44 is: 193.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.68 : 314.22 = 140.44 : x
  2. Step 2: Convert to fraction form
    227.68/314.22 = 140.44/x
  3. Step 3: Cross multiply
    227.68x = 314.22 × 140.44
  4. Step 4: Simplify right side
    227.68x = 44,129.06
  5. Step 5: Solve for x
    x = 44,129.06/227.68
  6. Step 6: Final answer
    x = 193.82

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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.