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Finding the Fourth Proportional to 232.91, 349.22 and 96.05

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Solution

The fourth proportional to 232.91, 349.22 and 96.05 is: 144.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.91 : 349.22 = 96.05 : x
  2. Step 2: Convert to fraction form
    232.91/349.22 = 96.05/x
  3. Step 3: Cross multiply
    232.91x = 349.22 × 96.05
  4. Step 4: Simplify right side
    232.91x = 33,540.83
  5. Step 5: Solve for x
    x = 33,540.83/232.91
  6. Step 6: Final answer
    x = 144.01

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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.