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Finding the Fourth Proportional to 266.26, 367.14 and 200.64

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Solution

The fourth proportional to 266.26, 367.14 and 200.64 is: 276.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.26 : 367.14 = 200.64 : x
  2. Step 2: Convert to fraction form
    266.26/367.14 = 200.64/x
  3. Step 3: Cross multiply
    266.26x = 367.14 × 200.64
  4. Step 4: Simplify right side
    266.26x = 73,662.97
  5. Step 5: Solve for x
    x = 73,662.97/266.26
  6. Step 6: Final answer
    x = 276.66

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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.