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Finding the Fourth Proportional to 234.87, 351.78 and 200.37

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Solution

The fourth proportional to 234.87, 351.78 and 200.37 is: 300.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.87 : 351.78 = 200.37 : x
  2. Step 2: Convert to fraction form
    234.87/351.78 = 200.37/x
  3. Step 3: Cross multiply
    234.87x = 351.78 × 200.37
  4. Step 4: Simplify right side
    234.87x = 70,486.16
  5. Step 5: Solve for x
    x = 70,486.16/234.87
  6. Step 6: Final answer
    x = 300.11

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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.