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Finding the Fourth Proportional to 234.97, 352.36 and 138.67

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Solution

The fourth proportional to 234.97, 352.36 and 138.67 is: 207.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.97 : 352.36 = 138.67 : x
  2. Step 2: Convert to fraction form
    234.97/352.36 = 138.67/x
  3. Step 3: Cross multiply
    234.97x = 352.36 × 138.67
  4. Step 4: Simplify right side
    234.97x = 48,861.76
  5. Step 5: Solve for x
    x = 48,861.76/234.97
  6. Step 6: Final answer
    x = 207.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.