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Finding the Fourth Proportional to 217.64, 300.59 and 169.11

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Solution

The fourth proportional to 217.64, 300.59 and 169.11 is: 233.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.64 : 300.59 = 169.11 : x
  2. Step 2: Convert to fraction form
    217.64/300.59 = 169.11/x
  3. Step 3: Cross multiply
    217.64x = 300.59 × 169.11
  4. Step 4: Simplify right side
    217.64x = 50,832.77
  5. Step 5: Solve for x
    x = 50,832.77/217.64
  6. Step 6: Final answer
    x = 233.56

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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.