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Finding the Fourth Proportional to 234.18, 351.41 and 136.86

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Solution

The fourth proportional to 234.18, 351.41 and 136.86 is: 205.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.18 : 351.41 = 136.86 : x
  2. Step 2: Convert to fraction form
    234.18/351.41 = 136.86/x
  3. Step 3: Cross multiply
    234.18x = 351.41 × 136.86
  4. Step 4: Simplify right side
    234.18x = 48,093.29
  5. Step 5: Solve for x
    x = 48,093.29/234.18
  6. Step 6: Final answer
    x = 205.37

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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.