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Finding the Fourth Proportional to 234.23, 351.41 and 131.49

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Solution

The fourth proportional to 234.23, 351.41 and 131.49 is: 197.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.23 : 351.41 = 131.49 : x
  2. Step 2: Convert to fraction form
    234.23/351.41 = 131.49/x
  3. Step 3: Cross multiply
    234.23x = 351.41 × 131.49
  4. Step 4: Simplify right side
    234.23x = 46,206.24
  5. Step 5: Solve for x
    x = 46,206.24/234.23
  6. Step 6: Final answer
    x = 197.27

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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.