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Finding the Fourth Proportional to 268.68, 402.71 and 165.99

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Solution

The fourth proportional to 268.68, 402.71 and 165.99 is: 248.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.68 : 402.71 = 165.99 : x
  2. Step 2: Convert to fraction form
    268.68/402.71 = 165.99/x
  3. Step 3: Cross multiply
    268.68x = 402.71 × 165.99
  4. Step 4: Simplify right side
    268.68x = 66,845.00
  5. Step 5: Solve for x
    x = 66,845.00/268.68
  6. Step 6: Final answer
    x = 248.79

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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.