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Finding the Fourth Proportional to 266.21, 366.08 and 213.09

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Solution

The fourth proportional to 266.21, 366.08 and 213.09 is: 293.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.21 : 366.08 = 213.09 : x
  2. Step 2: Convert to fraction form
    266.21/366.08 = 213.09/x
  3. Step 3: Cross multiply
    266.21x = 366.08 × 213.09
  4. Step 4: Simplify right side
    266.21x = 78,007.99
  5. Step 5: Solve for x
    x = 78,007.99/266.21
  6. Step 6: Final answer
    x = 293.03

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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.