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Finding the Fourth Proportional to 217.26, 299.46 and 158.04

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Solution

The fourth proportional to 217.26, 299.46 and 158.04 is: 217.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.26 : 299.46 = 158.04 : x
  2. Step 2: Convert to fraction form
    217.26/299.46 = 158.04/x
  3. Step 3: Cross multiply
    217.26x = 299.46 × 158.04
  4. Step 4: Simplify right side
    217.26x = 47,326.66
  5. Step 5: Solve for x
    x = 47,326.66/217.26
  6. Step 6: Final answer
    x = 217.83

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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.