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Finding the Fourth Proportional to 232.92, 349.20 and 160.80

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Solution

The fourth proportional to 232.92, 349.20 and 160.80 is: 241.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.92 : 349.20 = 160.80 : x
  2. Step 2: Convert to fraction form
    232.92/349.20 = 160.80/x
  3. Step 3: Cross multiply
    232.92x = 349.20 × 160.80
  4. Step 4: Simplify right side
    232.92x = 56,151.36
  5. Step 5: Solve for x
    x = 56,151.36/232.92
  6. Step 6: Final answer
    x = 241.08

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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.