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Finding the Fourth Proportional to 512.16, 768.10 and 146.86

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Solution

The fourth proportional to 512.16, 768.10 and 146.86 is: 220.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.16 : 768.10 = 146.86 : x
  2. Step 2: Convert to fraction form
    512.16/768.10 = 146.86/x
  3. Step 3: Cross multiply
    512.16x = 768.10 × 146.86
  4. Step 4: Simplify right side
    512.16x = 112,799.33
  5. Step 5: Solve for x
    x = 112,799.33/512.16
  6. Step 6: Final answer
    x = 220.24

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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.