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Finding the Fourth Proportional to 241.66, 360.19 and 227.99

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Solution

The fourth proportional to 241.66, 360.19 and 227.99 is: 339.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.66 : 360.19 = 227.99 : x
  2. Step 2: Convert to fraction form
    241.66/360.19 = 227.99/x
  3. Step 3: Cross multiply
    241.66x = 360.19 × 227.99
  4. Step 4: Simplify right side
    241.66x = 82,119.72
  5. Step 5: Solve for x
    x = 82,119.72/241.66
  6. Step 6: Final answer
    x = 339.82

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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.