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Finding the Fourth Proportional to 227.86, 314.45 and 149.21

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Solution

The fourth proportional to 227.86, 314.45 and 149.21 is: 205.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.86 : 314.45 = 149.21 : x
  2. Step 2: Convert to fraction form
    227.86/314.45 = 149.21/x
  3. Step 3: Cross multiply
    227.86x = 314.45 × 149.21
  4. Step 4: Simplify right side
    227.86x = 46,919.08
  5. Step 5: Solve for x
    x = 46,919.08/227.86
  6. Step 6: Final answer
    x = 205.91

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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.