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Finding the Fourth Proportional to 213.71, 320.18 and 141.39

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Solution

The fourth proportional to 213.71, 320.18 and 141.39 is: 211.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.71 : 320.18 = 141.39 : x
  2. Step 2: Convert to fraction form
    213.71/320.18 = 141.39/x
  3. Step 3: Cross multiply
    213.71x = 320.18 × 141.39
  4. Step 4: Simplify right side
    213.71x = 45,269.54
  5. Step 5: Solve for x
    x = 45,269.54/213.71
  6. Step 6: Final answer
    x = 211.83

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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.