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Finding the Fourth Proportional to 146.80, 218.96 and 133.84

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Solution

The fourth proportional to 146.80, 218.96 and 133.84 is: 199.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.80 : 218.96 = 133.84 : x
  2. Step 2: Convert to fraction form
    146.80/218.96 = 133.84/x
  3. Step 3: Cross multiply
    146.80x = 218.96 × 133.84
  4. Step 4: Simplify right side
    146.80x = 29,305.61
  5. Step 5: Solve for x
    x = 29,305.61/146.80
  6. Step 6: Final answer
    x = 199.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.