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Finding the Fourth Proportional to 213.44, 294.84 and 197.03

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Solution

The fourth proportional to 213.44, 294.84 and 197.03 is: 272.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.44 : 294.84 = 197.03 : x
  2. Step 2: Convert to fraction form
    213.44/294.84 = 197.03/x
  3. Step 3: Cross multiply
    213.44x = 294.84 × 197.03
  4. Step 4: Simplify right side
    213.44x = 58,093.06
  5. Step 5: Solve for x
    x = 58,093.06/213.44
  6. Step 6: Final answer
    x = 272.18

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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.