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Finding the Fourth Proportional to 294.97, 407.04 and 163.96

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Solution

The fourth proportional to 294.97, 407.04 and 163.96 is: 226.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.97 : 407.04 = 163.96 : x
  2. Step 2: Convert to fraction form
    294.97/407.04 = 163.96/x
  3. Step 3: Cross multiply
    294.97x = 407.04 × 163.96
  4. Step 4: Simplify right side
    294.97x = 66,738.28
  5. Step 5: Solve for x
    x = 66,738.28/294.97
  6. Step 6: Final answer
    x = 226.25

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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.