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Finding the Fourth Proportional to 241.92, 364.70 and 226.26

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Solution

The fourth proportional to 241.92, 364.70 and 226.26 is: 341.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.92 : 364.70 = 226.26 : x
  2. Step 2: Convert to fraction form
    241.92/364.70 = 226.26/x
  3. Step 3: Cross multiply
    241.92x = 364.70 × 226.26
  4. Step 4: Simplify right side
    241.92x = 82,517.59
  5. Step 5: Solve for x
    x = 82,517.59/241.92
  6. Step 6: Final answer
    x = 341.09

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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.