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Finding the Fourth Proportional to 231.78, 348.27 and 217.20

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Solution

The fourth proportional to 231.78, 348.27 and 217.20 is: 326.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.78 : 348.27 = 217.20 : x
  2. Step 2: Convert to fraction form
    231.78/348.27 = 217.20/x
  3. Step 3: Cross multiply
    231.78x = 348.27 × 217.20
  4. Step 4: Simplify right side
    231.78x = 75,644.24
  5. Step 5: Solve for x
    x = 75,644.24/231.78
  6. Step 6: Final answer
    x = 326.36

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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.