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Finding the Fourth Proportional to 241.78, 360.44 and 227.98

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Solution

The fourth proportional to 241.78, 360.44 and 227.98 is: 339.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.78 : 360.44 = 227.98 : x
  2. Step 2: Convert to fraction form
    241.78/360.44 = 227.98/x
  3. Step 3: Cross multiply
    241.78x = 360.44 × 227.98
  4. Step 4: Simplify right side
    241.78x = 82,173.11
  5. Step 5: Solve for x
    x = 82,173.11/241.78
  6. Step 6: Final answer
    x = 339.87

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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.