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Finding the Fourth Proportional to 512.16, 768.23 and 146.95

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Solution

The fourth proportional to 512.16, 768.23 and 146.95 is: 220.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.16 : 768.23 = 146.95 : x
  2. Step 2: Convert to fraction form
    512.16/768.23 = 146.95/x
  3. Step 3: Cross multiply
    512.16x = 768.23 × 146.95
  4. Step 4: Simplify right side
    512.16x = 112,891.40
  5. Step 5: Solve for x
    x = 112,891.40/512.16
  6. Step 6: Final answer
    x = 220.42

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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.