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Finding the Fourth Proportional to 234.70, 352.05 and 97.75

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Solution

The fourth proportional to 234.70, 352.05 and 97.75 is: 146.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.70 : 352.05 = 97.75 : x
  2. Step 2: Convert to fraction form
    234.70/352.05 = 97.75/x
  3. Step 3: Cross multiply
    234.70x = 352.05 × 97.75
  4. Step 4: Simplify right side
    234.70x = 34,412.89
  5. Step 5: Solve for x
    x = 34,412.89/234.70
  6. Step 6: Final answer
    x = 146.63

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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.