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Finding the Fourth Proportional to 394.48, 591.66 and 163.30

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Solution

The fourth proportional to 394.48, 591.66 and 163.30 is: 244.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.48 : 591.66 = 163.30 : x
  2. Step 2: Convert to fraction form
    394.48/591.66 = 163.30/x
  3. Step 3: Cross multiply
    394.48x = 591.66 × 163.30
  4. Step 4: Simplify right side
    394.48x = 96,618.08
  5. Step 5: Solve for x
    x = 96,618.08/394.48
  6. Step 6: Final answer
    x = 244.93

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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.