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Finding the Fourth Proportional to 234.68, 352.00 and 97.68

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Solution

The fourth proportional to 234.68, 352.00 and 97.68 is: 146.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.68 : 352.00 = 97.68 : x
  2. Step 2: Convert to fraction form
    234.68/352.00 = 97.68/x
  3. Step 3: Cross multiply
    234.68x = 352.00 × 97.68
  4. Step 4: Simplify right side
    234.68x = 34,383.12
  5. Step 5: Solve for x
    x = 34,383.12/234.68
  6. Step 6: Final answer
    x = 146.51

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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.