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Finding the Fourth Proportional to 217.37, 299.79 and 138.69

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Solution

The fourth proportional to 217.37, 299.79 and 138.69 is: 191.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.37 : 299.79 = 138.69 : x
  2. Step 2: Convert to fraction form
    217.37/299.79 = 138.69/x
  3. Step 3: Cross multiply
    217.37x = 299.79 × 138.69
  4. Step 4: Simplify right side
    217.37x = 41,577.88
  5. Step 5: Solve for x
    x = 41,577.88/217.37
  6. Step 6: Final answer
    x = 191.28

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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.