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Finding the Fourth Proportional to 226.94, 340.20 and 105.23

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Solution

The fourth proportional to 226.94, 340.20 and 105.23 is: 157.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.94 : 340.20 = 105.23 : x
  2. Step 2: Convert to fraction form
    226.94/340.20 = 105.23/x
  3. Step 3: Cross multiply
    226.94x = 340.20 × 105.23
  4. Step 4: Simplify right side
    226.94x = 35,800.10
  5. Step 5: Solve for x
    x = 35,800.10/226.94
  6. Step 6: Final answer
    x = 157.75

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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.