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Finding the Fourth Proportional to 232.94, 349.32 and 78.84

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Solution

The fourth proportional to 232.94, 349.32 and 78.84 is: 118.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.94 : 349.32 = 78.84 : x
  2. Step 2: Convert to fraction form
    232.94/349.32 = 78.84/x
  3. Step 3: Cross multiply
    232.94x = 349.32 × 78.84
  4. Step 4: Simplify right side
    232.94x = 27,540.39
  5. Step 5: Solve for x
    x = 27,540.39/232.94
  6. Step 6: Final answer
    x = 118.23

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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.