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Finding the Fourth Proportional to 227.94, 314.57 and 140.61

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Solution

The fourth proportional to 227.94, 314.57 and 140.61 is: 194.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.94 : 314.57 = 140.61 : x
  2. Step 2: Convert to fraction form
    227.94/314.57 = 140.61/x
  3. Step 3: Cross multiply
    227.94x = 314.57 × 140.61
  4. Step 4: Simplify right side
    227.94x = 44,231.69
  5. Step 5: Solve for x
    x = 44,231.69/227.94
  6. Step 6: Final answer
    x = 194.05

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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.