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Finding the Fourth Proportional to 213.26, 294.21 and 154.94

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Solution

The fourth proportional to 213.26, 294.21 and 154.94 is: 213.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.26 : 294.21 = 154.94 : x
  2. Step 2: Convert to fraction form
    213.26/294.21 = 154.94/x
  3. Step 3: Cross multiply
    213.26x = 294.21 × 154.94
  4. Step 4: Simplify right side
    213.26x = 45,583.43
  5. Step 5: Solve for x
    x = 45,583.43/213.26
  6. Step 6: Final answer
    x = 213.75

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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.