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Finding the Fourth Proportional to 241.20, 363.99 and 233.16

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Solution

The fourth proportional to 241.20, 363.99 and 233.16 is: 351.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.20 : 363.99 = 233.16 : x
  2. Step 2: Convert to fraction form
    241.20/363.99 = 233.16/x
  3. Step 3: Cross multiply
    241.20x = 363.99 × 233.16
  4. Step 4: Simplify right side
    241.20x = 84,867.91
  5. Step 5: Solve for x
    x = 84,867.91/241.20
  6. Step 6: Final answer
    x = 351.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.