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Finding the Fourth Proportional to 240.71, 331.81 and 205.47

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Solution

The fourth proportional to 240.71, 331.81 and 205.47 is: 283.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.71 : 331.81 = 205.47 : x
  2. Step 2: Convert to fraction form
    240.71/331.81 = 205.47/x
  3. Step 3: Cross multiply
    240.71x = 331.81 × 205.47
  4. Step 4: Simplify right side
    240.71x = 68,176.49
  5. Step 5: Solve for x
    x = 68,176.49/240.71
  6. Step 6: Final answer
    x = 283.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.