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Finding the Fourth Proportional to 227.05, 340.22 and 135.83

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Solution

The fourth proportional to 227.05, 340.22 and 135.83 is: 203.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.05 : 340.22 = 135.83 : x
  2. Step 2: Convert to fraction form
    227.05/340.22 = 135.83/x
  3. Step 3: Cross multiply
    227.05x = 340.22 × 135.83
  4. Step 4: Simplify right side
    227.05x = 46,213.27
  5. Step 5: Solve for x
    x = 46,213.27/227.05
  6. Step 6: Final answer
    x = 203.54

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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.