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Finding the Fourth Proportional to 263.56, 363.63 and 208.12

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Solution

The fourth proportional to 263.56, 363.63 and 208.12 is: 287.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.56 : 363.63 = 208.12 : x
  2. Step 2: Convert to fraction form
    263.56/363.63 = 208.12/x
  3. Step 3: Cross multiply
    263.56x = 363.63 × 208.12
  4. Step 4: Simplify right side
    263.56x = 75,678.68
  5. Step 5: Solve for x
    x = 75,678.68/263.56
  6. Step 6: Final answer
    x = 287.14

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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.