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Finding the Fourth Proportional to 232.83, 349.16 and 68.27

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Solution

The fourth proportional to 232.83, 349.16 and 68.27 is: 102.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.83 : 349.16 = 68.27 : x
  2. Step 2: Convert to fraction form
    232.83/349.16 = 68.27/x
  3. Step 3: Cross multiply
    232.83x = 349.16 × 68.27
  4. Step 4: Simplify right side
    232.83x = 23,835.07
  5. Step 5: Solve for x
    x = 23,835.07/232.83
  6. Step 6: Final answer
    x = 102.37

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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.