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Finding the Fourth Proportional to 266.33, 398.97 and 142.75

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Solution

The fourth proportional to 266.33, 398.97 and 142.75 is: 213.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.33 : 398.97 = 142.75 : x
  2. Step 2: Convert to fraction form
    266.33/398.97 = 142.75/x
  3. Step 3: Cross multiply
    266.33x = 398.97 × 142.75
  4. Step 4: Simplify right side
    266.33x = 56,952.97
  5. Step 5: Solve for x
    x = 56,952.97/266.33
  6. Step 6: Final answer
    x = 213.84

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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.