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Finding the Fourth Proportional to 234.82, 352.41 and 104.77

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Solution

The fourth proportional to 234.82, 352.41 and 104.77 is: 157.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.82 : 352.41 = 104.77 : x
  2. Step 2: Convert to fraction form
    234.82/352.41 = 104.77/x
  3. Step 3: Cross multiply
    234.82x = 352.41 × 104.77
  4. Step 4: Simplify right side
    234.82x = 36,922.00
  5. Step 5: Solve for x
    x = 36,922.00/234.82
  6. Step 6: Final answer
    x = 157.24

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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.