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Finding the Fourth Proportional to 234.90, 352.27 and 97.94

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Solution

The fourth proportional to 234.90, 352.27 and 97.94 is: 146.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.90 : 352.27 = 97.94 : x
  2. Step 2: Convert to fraction form
    234.90/352.27 = 97.94/x
  3. Step 3: Cross multiply
    234.90x = 352.27 × 97.94
  4. Step 4: Simplify right side
    234.90x = 34,501.32
  5. Step 5: Solve for x
    x = 34,501.32/234.90
  6. Step 6: Final answer
    x = 146.88

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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.