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Finding the Fourth Proportional to 232.54, 349.79 and 194.27

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Solution

The fourth proportional to 232.54, 349.79 and 194.27 is: 292.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.54 : 349.79 = 194.27 : x
  2. Step 2: Convert to fraction form
    232.54/349.79 = 194.27/x
  3. Step 3: Cross multiply
    232.54x = 349.79 × 194.27
  4. Step 4: Simplify right side
    232.54x = 67,950.98
  5. Step 5: Solve for x
    x = 67,950.98/232.54
  6. Step 6: Final answer
    x = 292.22

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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.