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Finding the Fourth Proportional to 268.90, 402.96 and 262.51

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Solution

The fourth proportional to 268.90, 402.96 and 262.51 is: 393.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.90 : 402.96 = 262.51 : x
  2. Step 2: Convert to fraction form
    268.90/402.96 = 262.51/x
  3. Step 3: Cross multiply
    268.90x = 402.96 × 262.51
  4. Step 4: Simplify right side
    268.90x = 105,781.03
  5. Step 5: Solve for x
    x = 105,781.03/268.90
  6. Step 6: Final answer
    x = 393.38

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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.