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Finding the Fourth Proportional to 149.32, 223.68 and 108.82

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Solution

The fourth proportional to 149.32, 223.68 and 108.82 is: 163.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.32 : 223.68 = 108.82 : x
  2. Step 2: Convert to fraction form
    149.32/223.68 = 108.82/x
  3. Step 3: Cross multiply
    149.32x = 223.68 × 108.82
  4. Step 4: Simplify right side
    149.32x = 24,340.86
  5. Step 5: Solve for x
    x = 24,340.86/149.32
  6. Step 6: Final answer
    x = 163.01

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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.