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Finding the Fourth Proportional to 227.98, 341.99 and 73.85

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Solution

The fourth proportional to 227.98, 341.99 and 73.85 is: 110.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.98 : 341.99 = 73.85 : x
  2. Step 2: Convert to fraction form
    227.98/341.99 = 73.85/x
  3. Step 3: Cross multiply
    227.98x = 341.99 × 73.85
  4. Step 4: Simplify right side
    227.98x = 25,255.96
  5. Step 5: Solve for x
    x = 25,255.96/227.98
  6. Step 6: Final answer
    x = 110.78

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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.