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Finding the Fourth Proportional to 512.09, 768.15 and 146.89

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Solution

The fourth proportional to 512.09, 768.15 and 146.89 is: 220.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.09 : 768.15 = 146.89 : x
  2. Step 2: Convert to fraction form
    512.09/768.15 = 146.89/x
  3. Step 3: Cross multiply
    512.09x = 768.15 × 146.89
  4. Step 4: Simplify right side
    512.09x = 112,828.98
  5. Step 5: Solve for x
    x = 112,828.98/512.09
  6. Step 6: Final answer
    x = 220.33

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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.