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Finding the Fourth Proportional to 512.63, 768.99 and 142.44

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Solution

The fourth proportional to 512.63, 768.99 and 142.44 is: 213.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.63 : 768.99 = 142.44 : x
  2. Step 2: Convert to fraction form
    512.63/768.99 = 142.44/x
  3. Step 3: Cross multiply
    512.63x = 768.99 × 142.44
  4. Step 4: Simplify right side
    512.63x = 109,534.94
  5. Step 5: Solve for x
    x = 109,534.94/512.63
  6. Step 6: Final answer
    x = 213.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.