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Finding the Fourth Proportional to 234.31, 351.24 and 214.26

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Solution

The fourth proportional to 234.31, 351.24 and 214.26 is: 321.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.31 : 351.24 = 214.26 : x
  2. Step 2: Convert to fraction form
    234.31/351.24 = 214.26/x
  3. Step 3: Cross multiply
    234.31x = 351.24 × 214.26
  4. Step 4: Simplify right side
    234.31x = 75,256.68
  5. Step 5: Solve for x
    x = 75,256.68/234.31
  6. Step 6: Final answer
    x = 321.18

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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.