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Finding the Fourth Proportional to 268.04, 402.62 and 165.44

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Solution

The fourth proportional to 268.04, 402.62 and 165.44 is: 248.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.04 : 402.62 = 165.44 : x
  2. Step 2: Convert to fraction form
    268.04/402.62 = 165.44/x
  3. Step 3: Cross multiply
    268.04x = 402.62 × 165.44
  4. Step 4: Simplify right side
    268.04x = 66,609.45
  5. Step 5: Solve for x
    x = 66,609.45/268.04
  6. Step 6: Final answer
    x = 248.51

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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.