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Finding the Fourth Proportional to 234.29, 351.14 and 125.96

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Solution

The fourth proportional to 234.29, 351.14 and 125.96 is: 188.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.29 : 351.14 = 125.96 : x
  2. Step 2: Convert to fraction form
    234.29/351.14 = 125.96/x
  3. Step 3: Cross multiply
    234.29x = 351.14 × 125.96
  4. Step 4: Simplify right side
    234.29x = 44,227.21
  5. Step 5: Solve for x
    x = 44,227.21/234.29
  6. Step 6: Final answer
    x = 188.77

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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.