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Finding the Fourth Proportional to 150.26, 223.92 and 134.01

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Solution

The fourth proportional to 150.26, 223.92 and 134.01 is: 199.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.26 : 223.92 = 134.01 : x
  2. Step 2: Convert to fraction form
    150.26/223.92 = 134.01/x
  3. Step 3: Cross multiply
    150.26x = 223.92 × 134.01
  4. Step 4: Simplify right side
    150.26x = 30,007.52
  5. Step 5: Solve for x
    x = 30,007.52/150.26
  6. Step 6: Final answer
    x = 199.71

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