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Finding the Fourth Proportional to 263.56, 363.23 and 205.24

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Solution

The fourth proportional to 263.56, 363.23 and 205.24 is: 282.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.56 : 363.23 = 205.24 : x
  2. Step 2: Convert to fraction form
    263.56/363.23 = 205.24/x
  3. Step 3: Cross multiply
    263.56x = 363.23 × 205.24
  4. Step 4: Simplify right side
    263.56x = 74,548.30
  5. Step 5: Solve for x
    x = 74,548.30/263.56
  6. Step 6: Final answer
    x = 282.85

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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.