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Finding the Fourth Proportional to 230.73, 318.43 and 216.71

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Solution

The fourth proportional to 230.73, 318.43 and 216.71 is: 299.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.73 : 318.43 = 216.71 : x
  2. Step 2: Convert to fraction form
    230.73/318.43 = 216.71/x
  3. Step 3: Cross multiply
    230.73x = 318.43 × 216.71
  4. Step 4: Simplify right side
    230.73x = 69,004.29
  5. Step 5: Solve for x
    x = 69,004.29/230.73
  6. Step 6: Final answer
    x = 299.07

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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.