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Finding the Fourth Proportional to 146.26, 218.97 and 133.42

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Solution

The fourth proportional to 146.26, 218.97 and 133.42 is: 199.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.26 : 218.97 = 133.42 : x
  2. Step 2: Convert to fraction form
    146.26/218.97 = 133.42/x
  3. Step 3: Cross multiply
    146.26x = 218.97 × 133.42
  4. Step 4: Simplify right side
    146.26x = 29,214.98
  5. Step 5: Solve for x
    x = 29,214.98/146.26
  6. Step 6: Final answer
    x = 199.75

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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.