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Finding the Fourth Proportional to 241.05, 331.86 and 224.49

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Solution

The fourth proportional to 241.05, 331.86 and 224.49 is: 309.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.05 : 331.86 = 224.49 : x
  2. Step 2: Convert to fraction form
    241.05/331.86 = 224.49/x
  3. Step 3: Cross multiply
    241.05x = 331.86 × 224.49
  4. Step 4: Simplify right side
    241.05x = 74,499.25
  5. Step 5: Solve for x
    x = 74,499.25/241.05
  6. Step 6: Final answer
    x = 309.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.