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Finding the Fourth Proportional to 512.12, 768.22 and 183.13

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Solution

The fourth proportional to 512.12, 768.22 and 183.13 is: 274.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.12 : 768.22 = 183.13 : x
  2. Step 2: Convert to fraction form
    512.12/768.22 = 183.13/x
  3. Step 3: Cross multiply
    512.12x = 768.22 × 183.13
  4. Step 4: Simplify right side
    512.12x = 140,681.75
  5. Step 5: Solve for x
    x = 140,681.75/512.12
  6. Step 6: Final answer
    x = 274.70

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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.