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Finding the Fourth Proportional to 229.89, 344.73 and 218.35

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Solution

The fourth proportional to 229.89, 344.73 and 218.35 is: 327.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.89 : 344.73 = 218.35 : x
  2. Step 2: Convert to fraction form
    229.89/344.73 = 218.35/x
  3. Step 3: Cross multiply
    229.89x = 344.73 × 218.35
  4. Step 4: Simplify right side
    229.89x = 75,270.49
  5. Step 5: Solve for x
    x = 75,270.49/229.89
  6. Step 6: Final answer
    x = 327.42

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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.