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Finding the Fourth Proportional to 217.53, 326.43 and 185.13

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Solution

The fourth proportional to 217.53, 326.43 and 185.13 is: 277.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.53 : 326.43 = 185.13 : x
  2. Step 2: Convert to fraction form
    217.53/326.43 = 185.13/x
  3. Step 3: Cross multiply
    217.53x = 326.43 × 185.13
  4. Step 4: Simplify right side
    217.53x = 60,431.99
  5. Step 5: Solve for x
    x = 60,431.99/217.53
  6. Step 6: Final answer
    x = 277.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.