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Finding the Fourth Proportional to 512.02, 768.16 and 146.81

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Solution

The fourth proportional to 512.02, 768.16 and 146.81 is: 220.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.02 : 768.16 = 146.81 : x
  2. Step 2: Convert to fraction form
    512.02/768.16 = 146.81/x
  3. Step 3: Cross multiply
    512.02x = 768.16 × 146.81
  4. Step 4: Simplify right side
    512.02x = 112,772.84
  5. Step 5: Solve for x
    x = 112,772.84/512.02
  6. Step 6: Final answer
    x = 220.25

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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.