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Finding the Fourth Proportional to 241.22, 363.32 and 224.31

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Solution

The fourth proportional to 241.22, 363.32 and 224.31 is: 337.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.22 : 363.32 = 224.31 : x
  2. Step 2: Convert to fraction form
    241.22/363.32 = 224.31/x
  3. Step 3: Cross multiply
    241.22x = 363.32 × 224.31
  4. Step 4: Simplify right side
    241.22x = 81,495.19
  5. Step 5: Solve for x
    x = 81,495.19/241.22
  6. Step 6: Final answer
    x = 337.85

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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.