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Finding the Fourth Proportional to 217.22, 299.61 and 134.35

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Solution

The fourth proportional to 217.22, 299.61 and 134.35 is: 185.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.22 : 299.61 = 134.35 : x
  2. Step 2: Convert to fraction form
    217.22/299.61 = 134.35/x
  3. Step 3: Cross multiply
    217.22x = 299.61 × 134.35
  4. Step 4: Simplify right side
    217.22x = 40,251.85
  5. Step 5: Solve for x
    x = 40,251.85/217.22
  6. Step 6: Final answer
    x = 185.31

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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.