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Finding the Fourth Proportional to 266.29, 399.56 and 200.83

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Solution

The fourth proportional to 266.29, 399.56 and 200.83 is: 301.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.29 : 399.56 = 200.83 : x
  2. Step 2: Convert to fraction form
    266.29/399.56 = 200.83/x
  3. Step 3: Cross multiply
    266.29x = 399.56 × 200.83
  4. Step 4: Simplify right side
    266.29x = 80,245.01
  5. Step 5: Solve for x
    x = 80,245.01/266.29
  6. Step 6: Final answer
    x = 301.34

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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.