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Finding the Fourth Proportional to 234.63, 351.37 and 230.85

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Solution

The fourth proportional to 234.63, 351.37 and 230.85 is: 345.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.63 : 351.37 = 230.85 : x
  2. Step 2: Convert to fraction form
    234.63/351.37 = 230.85/x
  3. Step 3: Cross multiply
    234.63x = 351.37 × 230.85
  4. Step 4: Simplify right side
    234.63x = 81,113.76
  5. Step 5: Solve for x
    x = 81,113.76/234.63
  6. Step 6: Final answer
    x = 345.71

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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.