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Finding the Fourth Proportional to 240.82, 359.21 and 213.48

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Solution

The fourth proportional to 240.82, 359.21 and 213.48 is: 318.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.82 : 359.21 = 213.48 : x
  2. Step 2: Convert to fraction form
    240.82/359.21 = 213.48/x
  3. Step 3: Cross multiply
    240.82x = 359.21 × 213.48
  4. Step 4: Simplify right side
    240.82x = 76,684.68
  5. Step 5: Solve for x
    x = 76,684.68/240.82
  6. Step 6: Final answer
    x = 318.43

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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.