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Finding the Fourth Proportional to 241.92, 363.12 and 160.48

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Solution

The fourth proportional to 241.92, 363.12 and 160.48 is: 240.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.92 : 363.12 = 160.48 : x
  2. Step 2: Convert to fraction form
    241.92/363.12 = 160.48/x
  3. Step 3: Cross multiply
    241.92x = 363.12 × 160.48
  4. Step 4: Simplify right side
    241.92x = 58,273.50
  5. Step 5: Solve for x
    x = 58,273.50/241.92
  6. Step 6: Final answer
    x = 240.88

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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.