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Finding the Fourth Proportional to 213.24, 318.27 and 198.18

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Solution

The fourth proportional to 213.24, 318.27 and 198.18 is: 295.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.24 : 318.27 = 198.18 : x
  2. Step 2: Convert to fraction form
    213.24/318.27 = 198.18/x
  3. Step 3: Cross multiply
    213.24x = 318.27 × 198.18
  4. Step 4: Simplify right side
    213.24x = 63,074.75
  5. Step 5: Solve for x
    x = 63,074.75/213.24
  6. Step 6: Final answer
    x = 295.79

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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.