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Finding the Fourth Proportional to 227.86, 314.31 and 149.20

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Solution

The fourth proportional to 227.86, 314.31 and 149.20 is: 205.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.86 : 314.31 = 149.20 : x
  2. Step 2: Convert to fraction form
    227.86/314.31 = 149.20/x
  3. Step 3: Cross multiply
    227.86x = 314.31 × 149.20
  4. Step 4: Simplify right side
    227.86x = 46,895.05
  5. Step 5: Solve for x
    x = 46,895.05/227.86
  6. Step 6: Final answer
    x = 205.81

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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.