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Finding the Fourth Proportional to 227.97, 341.83 and 81.70

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Solution

The fourth proportional to 227.97, 341.83 and 81.70 is: 122.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.97 : 341.83 = 81.70 : x
  2. Step 2: Convert to fraction form
    227.97/341.83 = 81.70/x
  3. Step 3: Cross multiply
    227.97x = 341.83 × 81.70
  4. Step 4: Simplify right side
    227.97x = 27,926.76
  5. Step 5: Solve for x
    x = 27,926.76/227.97
  6. Step 6: Final answer
    x = 122.50

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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.