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Finding the Fourth Proportional to 213.71, 318.99 and 198.70

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Solution

The fourth proportional to 213.71, 318.99 and 198.70 is: 296.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.71 : 318.99 = 198.70 : x
  2. Step 2: Convert to fraction form
    213.71/318.99 = 198.70/x
  3. Step 3: Cross multiply
    213.71x = 318.99 × 198.70
  4. Step 4: Simplify right side
    213.71x = 63,383.31
  5. Step 5: Solve for x
    x = 63,383.31/213.71
  6. Step 6: Final answer
    x = 296.59

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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.