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Finding the Fourth Proportional to 231, 344.42 and 217.23

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Solution

The fourth proportional to 231, 344.42 and 217.23 is: 323.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    231 : 344.42 = 217.23 : x
  2. Step 2: Convert to fraction form
    231/344.42 = 217.23/x
  3. Step 3: Cross multiply
    231x = 344.42 × 217.23
  4. Step 4: Simplify right side
    231x = 74,817.27
  5. Step 5: Solve for x
    x = 74,817.27/231
  6. Step 6: Final answer
    x = 323.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.