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Finding the Fourth Proportional to 190.86, 264.09 and 163.18

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Solution

The fourth proportional to 190.86, 264.09 and 163.18 is: 225.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.86 : 264.09 = 163.18 : x
  2. Step 2: Convert to fraction form
    190.86/264.09 = 163.18/x
  3. Step 3: Cross multiply
    190.86x = 264.09 × 163.18
  4. Step 4: Simplify right side
    190.86x = 43,094.21
  5. Step 5: Solve for x
    x = 43,094.21/190.86
  6. Step 6: Final answer
    x = 225.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.