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Finding the Fourth Proportional to 512.84, 769.16 and 147.64

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Solution

The fourth proportional to 512.84, 769.16 and 147.64 is: 221.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.84 : 769.16 = 147.64 : x
  2. Step 2: Convert to fraction form
    512.84/769.16 = 147.64/x
  3. Step 3: Cross multiply
    512.84x = 769.16 × 147.64
  4. Step 4: Simplify right side
    512.84x = 113,558.78
  5. Step 5: Solve for x
    x = 113,558.78/512.84
  6. Step 6: Final answer
    x = 221.43

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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.