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Finding the Fourth Proportional to 226.71, 340.14 and 104.94

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Solution

The fourth proportional to 226.71, 340.14 and 104.94 is: 157.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.71 : 340.14 = 104.94 : x
  2. Step 2: Convert to fraction form
    226.71/340.14 = 104.94/x
  3. Step 3: Cross multiply
    226.71x = 340.14 × 104.94
  4. Step 4: Simplify right side
    226.71x = 35,694.29
  5. Step 5: Solve for x
    x = 35,694.29/226.71
  6. Step 6: Final answer
    x = 157.44

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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.