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Finding the Fourth Proportional to 150.56, 226.11 and 134.90

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Solution

The fourth proportional to 150.56, 226.11 and 134.90 is: 202.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.56 : 226.11 = 134.90 : x
  2. Step 2: Convert to fraction form
    150.56/226.11 = 134.90/x
  3. Step 3: Cross multiply
    150.56x = 226.11 × 134.90
  4. Step 4: Simplify right side
    150.56x = 30,502.24
  5. Step 5: Solve for x
    x = 30,502.24/150.56
  6. Step 6: Final answer
    x = 202.59

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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.