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Finding the Fourth Proportional to 234.69, 352.10 and 97.67

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Solution

The fourth proportional to 234.69, 352.10 and 97.67 is: 146.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.69 : 352.10 = 97.67 : x
  2. Step 2: Convert to fraction form
    234.69/352.10 = 97.67/x
  3. Step 3: Cross multiply
    234.69x = 352.10 × 97.67
  4. Step 4: Simplify right side
    234.69x = 34,388.09
  5. Step 5: Solve for x
    x = 34,388.09/234.69
  6. Step 6: Final answer
    x = 146.53

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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.