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Finding the Fourth Proportional to 212.34, 292.57 and 198.05

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Solution

The fourth proportional to 212.34, 292.57 and 198.05 is: 272.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.34 : 292.57 = 198.05 : x
  2. Step 2: Convert to fraction form
    212.34/292.57 = 198.05/x
  3. Step 3: Cross multiply
    212.34x = 292.57 × 198.05
  4. Step 4: Simplify right side
    212.34x = 57,942.50
  5. Step 5: Solve for x
    x = 57,942.50/212.34
  6. Step 6: Final answer
    x = 272.88

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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.