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Finding the Fourth Proportional to 546.80, 819.64 and 199.88

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Solution

The fourth proportional to 546.80, 819.64 and 199.88 is: 299.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.80 : 819.64 = 199.88 : x
  2. Step 2: Convert to fraction form
    546.80/819.64 = 199.88/x
  3. Step 3: Cross multiply
    546.80x = 819.64 × 199.88
  4. Step 4: Simplify right side
    546.80x = 163,829.64
  5. Step 5: Solve for x
    x = 163,829.64/546.80
  6. Step 6: Final answer
    x = 299.62

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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.