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Finding the Fourth Proportional to 294.41, 406.26 and 163.42

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Solution

The fourth proportional to 294.41, 406.26 and 163.42 is: 225.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.41 : 406.26 = 163.42 : x
  2. Step 2: Convert to fraction form
    294.41/406.26 = 163.42/x
  3. Step 3: Cross multiply
    294.41x = 406.26 × 163.42
  4. Step 4: Simplify right side
    294.41x = 66,389.99
  5. Step 5: Solve for x
    x = 66,389.99/294.41
  6. Step 6: Final answer
    x = 225.50

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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.