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Finding the Fourth Proportional to 241.94, 360.34 and 226.96

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Solution

The fourth proportional to 241.94, 360.34 and 226.96 is: 338.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.94 : 360.34 = 226.96 : x
  2. Step 2: Convert to fraction form
    241.94/360.34 = 226.96/x
  3. Step 3: Cross multiply
    241.94x = 360.34 × 226.96
  4. Step 4: Simplify right side
    241.94x = 81,782.77
  5. Step 5: Solve for x
    x = 81,782.77/241.94
  6. Step 6: Final answer
    x = 338.03

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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.