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Finding the Fourth Proportional to 150.86, 226.37 and 69.69

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Solution

The fourth proportional to 150.86, 226.37 and 69.69 is: 104.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.86 : 226.37 = 69.69 : x
  2. Step 2: Convert to fraction form
    150.86/226.37 = 69.69/x
  3. Step 3: Cross multiply
    150.86x = 226.37 × 69.69
  4. Step 4: Simplify right side
    150.86x = 15,775.73
  5. Step 5: Solve for x
    x = 15,775.73/150.86
  6. Step 6: Final answer
    x = 104.57

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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.