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Finding the Fourth Proportional to 227.25, 340.76 and 105.41

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Solution

The fourth proportional to 227.25, 340.76 and 105.41 is: 158.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.25 : 340.76 = 105.41 : x
  2. Step 2: Convert to fraction form
    227.25/340.76 = 105.41/x
  3. Step 3: Cross multiply
    227.25x = 340.76 × 105.41
  4. Step 4: Simplify right side
    227.25x = 35,917.81
  5. Step 5: Solve for x
    x = 35,917.81/227.25
  6. Step 6: Final answer
    x = 158.06

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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.