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Finding the Fourth Proportional to 274.99, 379.61 and 205.27

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Solution

The fourth proportional to 274.99, 379.61 and 205.27 is: 283.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.99 : 379.61 = 205.27 : x
  2. Step 2: Convert to fraction form
    274.99/379.61 = 205.27/x
  3. Step 3: Cross multiply
    274.99x = 379.61 × 205.27
  4. Step 4: Simplify right side
    274.99x = 77,921.52
  5. Step 5: Solve for x
    x = 77,921.52/274.99
  6. Step 6: Final answer
    x = 283.36

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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.