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Finding the Fourth Proportional to 212.62, 319.05 and 115.12

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Solution

The fourth proportional to 212.62, 319.05 and 115.12 is: 172.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.62 : 319.05 = 115.12 : x
  2. Step 2: Convert to fraction form
    212.62/319.05 = 115.12/x
  3. Step 3: Cross multiply
    212.62x = 319.05 × 115.12
  4. Step 4: Simplify right side
    212.62x = 36,729.04
  5. Step 5: Solve for x
    x = 36,729.04/212.62
  6. Step 6: Final answer
    x = 172.74

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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.