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Finding the Fourth Proportional to 226.60, 340.09 and 111.13

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Solution

The fourth proportional to 226.60, 340.09 and 111.13 is: 166.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.60 : 340.09 = 111.13 : x
  2. Step 2: Convert to fraction form
    226.60/340.09 = 111.13/x
  3. Step 3: Cross multiply
    226.60x = 340.09 × 111.13
  4. Step 4: Simplify right side
    226.60x = 37,792.50
  5. Step 5: Solve for x
    x = 37,792.50/226.60
  6. Step 6: Final answer
    x = 166.78

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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.