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Finding the Fourth Proportional to 295.91, 408.36 and 163.13

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Solution

The fourth proportional to 295.91, 408.36 and 163.13 is: 225.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.91 : 408.36 = 163.13 : x
  2. Step 2: Convert to fraction form
    295.91/408.36 = 163.13/x
  3. Step 3: Cross multiply
    295.91x = 408.36 × 163.13
  4. Step 4: Simplify right side
    295.91x = 66,617.78
  5. Step 5: Solve for x
    x = 66,617.78/295.91
  6. Step 6: Final answer
    x = 225.13

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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.