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Finding the Fourth Proportional to 512.58, 768.87 and 147.37

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Solution

The fourth proportional to 512.58, 768.87 and 147.37 is: 221.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.58 : 768.87 = 147.37 : x
  2. Step 2: Convert to fraction form
    512.58/768.87 = 147.37/x
  3. Step 3: Cross multiply
    512.58x = 768.87 × 147.37
  4. Step 4: Simplify right side
    512.58x = 113,305.04
  5. Step 5: Solve for x
    x = 113,305.04/512.58
  6. Step 6: Final answer
    x = 221.05

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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.