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Finding the Fourth Proportional to 512.37, 768.57 and 147.15

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Solution

The fourth proportional to 512.37, 768.57 and 147.15 is: 220.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.37 : 768.57 = 147.15 : x
  2. Step 2: Convert to fraction form
    512.37/768.57 = 147.15/x
  3. Step 3: Cross multiply
    512.37x = 768.57 × 147.15
  4. Step 4: Simplify right side
    512.37x = 113,095.08
  5. Step 5: Solve for x
    x = 113,095.08/512.37
  6. Step 6: Final answer
    x = 220.73

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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.