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Finding the Fourth Proportional to 272.27, 375.36 and 205.85

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Solution

The fourth proportional to 272.27, 375.36 and 205.85 is: 283.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.27 : 375.36 = 205.85 : x
  2. Step 2: Convert to fraction form
    272.27/375.36 = 205.85/x
  3. Step 3: Cross multiply
    272.27x = 375.36 × 205.85
  4. Step 4: Simplify right side
    272.27x = 77,267.86
  5. Step 5: Solve for x
    x = 77,267.86/272.27
  6. Step 6: Final answer
    x = 283.79

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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.