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Finding the Fourth Proportional to 512.23, 768.37 and 147.03

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Solution

The fourth proportional to 512.23, 768.37 and 147.03 is: 220.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.23 : 768.37 = 147.03 : x
  2. Step 2: Convert to fraction form
    512.23/768.37 = 147.03/x
  3. Step 3: Cross multiply
    512.23x = 768.37 × 147.03
  4. Step 4: Simplify right side
    512.23x = 112,973.44
  5. Step 5: Solve for x
    x = 112,973.44/512.23
  6. Step 6: Final answer
    x = 220.55

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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.