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Finding the Fourth Proportional to 268.66, 402.99 and 122.63

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Solution

The fourth proportional to 268.66, 402.99 and 122.63 is: 183.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.66 : 402.99 = 122.63 : x
  2. Step 2: Convert to fraction form
    268.66/402.99 = 122.63/x
  3. Step 3: Cross multiply
    268.66x = 402.99 × 122.63
  4. Step 4: Simplify right side
    268.66x = 49,419.67
  5. Step 5: Solve for x
    x = 49,419.67/268.66
  6. Step 6: Final answer
    x = 183.95

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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.