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Finding the Fourth Proportional to 512.07, 768.02 and 146.81

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Solution

The fourth proportional to 512.07, 768.02 and 146.81 is: 220.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.07 : 768.02 = 146.81 : x
  2. Step 2: Convert to fraction form
    512.07/768.02 = 146.81/x
  3. Step 3: Cross multiply
    512.07x = 768.02 × 146.81
  4. Step 4: Simplify right side
    512.07x = 112,748.44
  5. Step 5: Solve for x
    x = 112,748.44/512.07
  6. Step 6: Final answer
    x = 220.18

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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.