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Finding the Fourth Proportional to 150.80, 226.35 and 133.79

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Solution

The fourth proportional to 150.80, 226.35 and 133.79 is: 200.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.80 : 226.35 = 133.79 : x
  2. Step 2: Convert to fraction form
    150.80/226.35 = 133.79/x
  3. Step 3: Cross multiply
    150.80x = 226.35 × 133.79
  4. Step 4: Simplify right side
    150.80x = 30,283.37
  5. Step 5: Solve for x
    x = 30,283.37/150.80
  6. Step 6: Final answer
    x = 200.82

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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.