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Finding the Fourth Proportional to 268.83, 402.66 and 259.56

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Solution

The fourth proportional to 268.83, 402.66 and 259.56 is: 388.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.83 : 402.66 = 259.56 : x
  2. Step 2: Convert to fraction form
    268.83/402.66 = 259.56/x
  3. Step 3: Cross multiply
    268.83x = 402.66 × 259.56
  4. Step 4: Simplify right side
    268.83x = 104,514.43
  5. Step 5: Solve for x
    x = 104,514.43/268.83
  6. Step 6: Final answer
    x = 388.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.