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Finding the Fourth Proportional to 229.27, 343.93 and 107.57

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Solution

The fourth proportional to 229.27, 343.93 and 107.57 is: 161.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.27 : 343.93 = 107.57 : x
  2. Step 2: Convert to fraction form
    229.27/343.93 = 107.57/x
  3. Step 3: Cross multiply
    229.27x = 343.93 × 107.57
  4. Step 4: Simplify right side
    229.27x = 36,996.55
  5. Step 5: Solve for x
    x = 36,996.55/229.27
  6. Step 6: Final answer
    x = 161.37

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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.