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Finding the Fourth Proportional to 234.26, 352.97 and 194.57

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Solution

The fourth proportional to 234.26, 352.97 and 194.57 is: 293.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.26 : 352.97 = 194.57 : x
  2. Step 2: Convert to fraction form
    234.26/352.97 = 194.57/x
  3. Step 3: Cross multiply
    234.26x = 352.97 × 194.57
  4. Step 4: Simplify right side
    234.26x = 68,677.37
  5. Step 5: Solve for x
    x = 68,677.37/234.26
  6. Step 6: Final answer
    x = 293.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.