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Finding the Fourth Proportional to 241.45, 359.60 and 226.46

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Solution

The fourth proportional to 241.45, 359.60 and 226.46 is: 337.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.45 : 359.60 = 226.46 : x
  2. Step 2: Convert to fraction form
    241.45/359.60 = 226.46/x
  3. Step 3: Cross multiply
    241.45x = 359.60 × 226.46
  4. Step 4: Simplify right side
    241.45x = 81,435.02
  5. Step 5: Solve for x
    x = 81,435.02/241.45
  6. Step 6: Final answer
    x = 337.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.