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Finding the Fourth Proportional to 234.26, 351.90 and 138.14

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Solution

The fourth proportional to 234.26, 351.90 and 138.14 is: 207.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.26 : 351.90 = 138.14 : x
  2. Step 2: Convert to fraction form
    234.26/351.90 = 138.14/x
  3. Step 3: Cross multiply
    234.26x = 351.90 × 138.14
  4. Step 4: Simplify right side
    234.26x = 48,611.47
  5. Step 5: Solve for x
    x = 48,611.47/234.26
  6. Step 6: Final answer
    x = 207.51

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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.