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Finding the Fourth Proportional to 266.79, 367.63 and 204.62

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Solution

The fourth proportional to 266.79, 367.63 and 204.62 is: 281.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.79 : 367.63 = 204.62 : x
  2. Step 2: Convert to fraction form
    266.79/367.63 = 204.62/x
  3. Step 3: Cross multiply
    266.79x = 367.63 × 204.62
  4. Step 4: Simplify right side
    266.79x = 75,224.45
  5. Step 5: Solve for x
    x = 75,224.45/266.79
  6. Step 6: Final answer
    x = 281.96

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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.