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Finding the Fourth Proportional to 213.11, 318.12 and 182.12

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Solution

The fourth proportional to 213.11, 318.12 and 182.12 is: 271.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.11 : 318.12 = 182.12 : x
  2. Step 2: Convert to fraction form
    213.11/318.12 = 182.12/x
  3. Step 3: Cross multiply
    213.11x = 318.12 × 182.12
  4. Step 4: Simplify right side
    213.11x = 57,936.01
  5. Step 5: Solve for x
    x = 57,936.01/213.11
  6. Step 6: Final answer
    x = 271.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.