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Finding the Fourth Proportional to 227.96, 314.61 and 140.63

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Solution

The fourth proportional to 227.96, 314.61 and 140.63 is: 194.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.96 : 314.61 = 140.63 : x
  2. Step 2: Convert to fraction form
    227.96/314.61 = 140.63/x
  3. Step 3: Cross multiply
    227.96x = 314.61 × 140.63
  4. Step 4: Simplify right side
    227.96x = 44,243.60
  5. Step 5: Solve for x
    x = 44,243.60/227.96
  6. Step 6: Final answer
    x = 194.08

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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.