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Finding the Fourth Proportional to 227.86, 314.51 and 140.48

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Solution

The fourth proportional to 227.86, 314.51 and 140.48 is: 193.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.86 : 314.51 = 140.48 : x
  2. Step 2: Convert to fraction form
    227.86/314.51 = 140.48/x
  3. Step 3: Cross multiply
    227.86x = 314.51 × 140.48
  4. Step 4: Simplify right side
    227.86x = 44,183.83
  5. Step 5: Solve for x
    x = 44,183.83/227.86
  6. Step 6: Final answer
    x = 193.91

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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.