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Finding the Fourth Proportional to 266.44, 398.56 and 212.44

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Solution

The fourth proportional to 266.44, 398.56 and 212.44 is: 317.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.44 : 398.56 = 212.44 : x
  2. Step 2: Convert to fraction form
    266.44/398.56 = 212.44/x
  3. Step 3: Cross multiply
    266.44x = 398.56 × 212.44
  4. Step 4: Simplify right side
    266.44x = 84,670.09
  5. Step 5: Solve for x
    x = 84,670.09/266.44
  6. Step 6: Final answer
    x = 317.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.