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Finding the Fourth Proportional to 227.10, 340.82 and 105.45

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Solution

The fourth proportional to 227.10, 340.82 and 105.45 is: 158.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.10 : 340.82 = 105.45 : x
  2. Step 2: Convert to fraction form
    227.10/340.82 = 105.45/x
  3. Step 3: Cross multiply
    227.10x = 340.82 × 105.45
  4. Step 4: Simplify right side
    227.10x = 35,939.73
  5. Step 5: Solve for x
    x = 35,939.73/227.10
  6. Step 6: Final answer
    x = 158.25

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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.