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Finding the Fourth Proportional to 229.37, 343.85 and 161.33

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Solution

The fourth proportional to 229.37, 343.85 and 161.33 is: 241.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.37 : 343.85 = 161.33 : x
  2. Step 2: Convert to fraction form
    229.37/343.85 = 161.33/x
  3. Step 3: Cross multiply
    229.37x = 343.85 × 161.33
  4. Step 4: Simplify right side
    229.37x = 55,470.79
  5. Step 5: Solve for x
    x = 55,470.79/229.37
  6. Step 6: Final answer
    x = 241.85

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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.