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Finding the Fourth Proportional to 240.17, 331.10 and 205.05

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Solution

The fourth proportional to 240.17, 331.10 and 205.05 is: 282.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.17 : 331.10 = 205.05 : x
  2. Step 2: Convert to fraction form
    240.17/331.10 = 205.05/x
  3. Step 3: Cross multiply
    240.17x = 331.10 × 205.05
  4. Step 4: Simplify right side
    240.17x = 67,890.91
  5. Step 5: Solve for x
    x = 67,890.91/240.17
  6. Step 6: Final answer
    x = 282.68

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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.