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Finding the Fourth Proportional to 234.57, 351.91 and 112.77

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Solution

The fourth proportional to 234.57, 351.91 and 112.77 is: 169.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.57 : 351.91 = 112.77 : x
  2. Step 2: Convert to fraction form
    234.57/351.91 = 112.77/x
  3. Step 3: Cross multiply
    234.57x = 351.91 × 112.77
  4. Step 4: Simplify right side
    234.57x = 39,684.89
  5. Step 5: Solve for x
    x = 39,684.89/234.57
  6. Step 6: Final answer
    x = 169.18

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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.