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Finding the Fourth Proportional to 268.74, 402.68 and 191.32

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Solution

The fourth proportional to 268.74, 402.68 and 191.32 is: 286.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.74 : 402.68 = 191.32 : x
  2. Step 2: Convert to fraction form
    268.74/402.68 = 191.32/x
  3. Step 3: Cross multiply
    268.74x = 402.68 × 191.32
  4. Step 4: Simplify right side
    268.74x = 77,040.74
  5. Step 5: Solve for x
    x = 77,040.74/268.74
  6. Step 6: Final answer
    x = 286.67

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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.