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Finding the Fourth Proportional to 266.96, 400.68 and 213.21

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Solution

The fourth proportional to 266.96, 400.68 and 213.21 is: 320.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.96 : 400.68 = 213.21 : x
  2. Step 2: Convert to fraction form
    266.96/400.68 = 213.21/x
  3. Step 3: Cross multiply
    266.96x = 400.68 × 213.21
  4. Step 4: Simplify right side
    266.96x = 85,428.98
  5. Step 5: Solve for x
    x = 85,428.98/266.96
  6. Step 6: Final answer
    x = 320.00

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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.