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Finding the Fourth Proportional to 212.14, 318.30 and 75.28

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Solution

The fourth proportional to 212.14, 318.30 and 75.28 is: 112.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.14 : 318.30 = 75.28 : x
  2. Step 2: Convert to fraction form
    212.14/318.30 = 75.28/x
  3. Step 3: Cross multiply
    212.14x = 318.30 × 75.28
  4. Step 4: Simplify right side
    212.14x = 23,961.62
  5. Step 5: Solve for x
    x = 23,961.62/212.14
  6. Step 6: Final answer
    x = 112.95

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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.