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Finding the Fourth Proportional to 135.73, 202.46 and 133.66

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Solution

The fourth proportional to 135.73, 202.46 and 133.66 is: 199.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.73 : 202.46 = 133.66 : x
  2. Step 2: Convert to fraction form
    135.73/202.46 = 133.66/x
  3. Step 3: Cross multiply
    135.73x = 202.46 × 133.66
  4. Step 4: Simplify right side
    135.73x = 27,060.80
  5. Step 5: Solve for x
    x = 27,060.80/135.73
  6. Step 6: Final answer
    x = 199.37

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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.