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Finding the Fourth Proportional to 150.86, 226.17 and 73.82

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Solution

The fourth proportional to 150.86, 226.17 and 73.82 is: 110.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.86 : 226.17 = 73.82 : x
  2. Step 2: Convert to fraction form
    150.86/226.17 = 73.82/x
  3. Step 3: Cross multiply
    150.86x = 226.17 × 73.82
  4. Step 4: Simplify right side
    150.86x = 16,694.74
  5. Step 5: Solve for x
    x = 16,694.74/150.86
  6. Step 6: Final answer
    x = 110.67

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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.