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Finding the Fourth Proportional to 229.76, 344.48 and 107.94

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Solution

The fourth proportional to 229.76, 344.48 and 107.94 is: 161.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.76 : 344.48 = 107.94 : x
  2. Step 2: Convert to fraction form
    229.76/344.48 = 107.94/x
  3. Step 3: Cross multiply
    229.76x = 344.48 × 107.94
  4. Step 4: Simplify right side
    229.76x = 37,183.17
  5. Step 5: Solve for x
    x = 37,183.17/229.76
  6. Step 6: Final answer
    x = 161.83

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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.