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Finding the Fourth Proportional to 294.19, 406.26 and 216.97

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Solution

The fourth proportional to 294.19, 406.26 and 216.97 is: 299.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.19 : 406.26 = 216.97 : x
  2. Step 2: Convert to fraction form
    294.19/406.26 = 216.97/x
  3. Step 3: Cross multiply
    294.19x = 406.26 × 216.97
  4. Step 4: Simplify right side
    294.19x = 88,146.23
  5. Step 5: Solve for x
    x = 88,146.23/294.19
  6. Step 6: Final answer
    x = 299.62

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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.