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Finding the Fourth Proportional to 232.91, 349.37 and 130.84

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Solution

The fourth proportional to 232.91, 349.37 and 130.84 is: 196.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.91 : 349.37 = 130.84 : x
  2. Step 2: Convert to fraction form
    232.91/349.37 = 130.84/x
  3. Step 3: Cross multiply
    232.91x = 349.37 × 130.84
  4. Step 4: Simplify right side
    232.91x = 45,710.92
  5. Step 5: Solve for x
    x = 45,710.92/232.91
  6. Step 6: Final answer
    x = 196.26

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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.