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Finding the Fourth Proportional to 234.57, 351.94 and 97.71

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Solution

The fourth proportional to 234.57, 351.94 and 97.71 is: 146.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.57 : 351.94 = 97.71 : x
  2. Step 2: Convert to fraction form
    234.57/351.94 = 97.71/x
  3. Step 3: Cross multiply
    234.57x = 351.94 × 97.71
  4. Step 4: Simplify right side
    234.57x = 34,388.06
  5. Step 5: Solve for x
    x = 34,388.06/234.57
  6. Step 6: Final answer
    x = 146.60

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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.