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Finding the Fourth Proportional to 268.22, 369.77 and 262.40

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Solution

The fourth proportional to 268.22, 369.77 and 262.40 is: 361.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.22 : 369.77 = 262.40 : x
  2. Step 2: Convert to fraction form
    268.22/369.77 = 262.40/x
  3. Step 3: Cross multiply
    268.22x = 369.77 × 262.40
  4. Step 4: Simplify right side
    268.22x = 97,024.49
  5. Step 5: Solve for x
    x = 97,024.49/268.22
  6. Step 6: Final answer
    x = 361.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.