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Finding the Fourth Proportional to 394.67, 591.75 and 163.51

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Solution

The fourth proportional to 394.67, 591.75 and 163.51 is: 245.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.67 : 591.75 = 163.51 : x
  2. Step 2: Convert to fraction form
    394.67/591.75 = 163.51/x
  3. Step 3: Cross multiply
    394.67x = 591.75 × 163.51
  4. Step 4: Simplify right side
    394.67x = 96,755.56
  5. Step 5: Solve for x
    x = 96,755.56/394.67
  6. Step 6: Final answer
    x = 245.15

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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.