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Finding the Fourth Proportional to 263.68, 363.84 and 205.44

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Solution

The fourth proportional to 263.68, 363.84 and 205.44 is: 283.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.68 : 363.84 = 205.44 : x
  2. Step 2: Convert to fraction form
    263.68/363.84 = 205.44/x
  3. Step 3: Cross multiply
    263.68x = 363.84 × 205.44
  4. Step 4: Simplify right side
    263.68x = 74,747.29
  5. Step 5: Solve for x
    x = 74,747.29/263.68
  6. Step 6: Final answer
    x = 283.48

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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.