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Finding the Fourth Proportional to 512.01, 768.05 and 146.84

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Solution

The fourth proportional to 512.01, 768.05 and 146.84 is: 220.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.01 : 768.05 = 146.84 : x
  2. Step 2: Convert to fraction form
    512.01/768.05 = 146.84/x
  3. Step 3: Cross multiply
    512.01x = 768.05 × 146.84
  4. Step 4: Simplify right side
    512.01x = 112,775.89
  5. Step 5: Solve for x
    x = 112,775.89/512.01
  6. Step 6: Final answer
    x = 220.26

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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.