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Finding the Fourth Proportional to 227.96, 341.78 and 73.84

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Solution

The fourth proportional to 227.96, 341.78 and 73.84 is: 110.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.96 : 341.78 = 73.84 : x
  2. Step 2: Convert to fraction form
    227.96/341.78 = 73.84/x
  3. Step 3: Cross multiply
    227.96x = 341.78 × 73.84
  4. Step 4: Simplify right side
    227.96x = 25,237.04
  5. Step 5: Solve for x
    x = 25,237.04/227.96
  6. Step 6: Final answer
    x = 110.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.