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Finding the Fourth Proportional to 227.08, 340.68 and 105.20

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Solution

The fourth proportional to 227.08, 340.68 and 105.20 is: 157.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.08 : 340.68 = 105.20 : x
  2. Step 2: Convert to fraction form
    227.08/340.68 = 105.20/x
  3. Step 3: Cross multiply
    227.08x = 340.68 × 105.20
  4. Step 4: Simplify right side
    227.08x = 35,839.54
  5. Step 5: Solve for x
    x = 35,839.54/227.08
  6. Step 6: Final answer
    x = 157.83

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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.