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Finding the Fourth Proportional to 229.56, 344.52 and 217.80

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Solution

The fourth proportional to 229.56, 344.52 and 217.80 is: 326.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.56 : 344.52 = 217.80 : x
  2. Step 2: Convert to fraction form
    229.56/344.52 = 217.80/x
  3. Step 3: Cross multiply
    229.56x = 344.52 × 217.80
  4. Step 4: Simplify right side
    229.56x = 75,036.46
  5. Step 5: Solve for x
    x = 75,036.46/229.56
  6. Step 6: Final answer
    x = 326.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.