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Finding the Fourth Proportional to 266.20, 398.70 and 218.20

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Solution

The fourth proportional to 266.20, 398.70 and 218.20 is: 326.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.20 : 398.70 = 218.20 : x
  2. Step 2: Convert to fraction form
    266.20/398.70 = 218.20/x
  3. Step 3: Cross multiply
    266.20x = 398.70 × 218.20
  4. Step 4: Simplify right side
    266.20x = 86,996.34
  5. Step 5: Solve for x
    x = 86,996.34/266.20
  6. Step 6: Final answer
    x = 326.81

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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.