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Finding the Fourth Proportional to 281.97, 388.85 and 199.14

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Solution

The fourth proportional to 281.97, 388.85 and 199.14 is: 274.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.97 : 388.85 = 199.14 : x
  2. Step 2: Convert to fraction form
    281.97/388.85 = 199.14/x
  3. Step 3: Cross multiply
    281.97x = 388.85 × 199.14
  4. Step 4: Simplify right side
    281.97x = 77,434.59
  5. Step 5: Solve for x
    x = 77,434.59/281.97
  6. Step 6: Final answer
    x = 274.62

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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.