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Finding the Fourth Proportional to 546.74, 819.90 and 199.95

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Solution

The fourth proportional to 546.74, 819.90 and 199.95 is: 299.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.74 : 819.90 = 199.95 : x
  2. Step 2: Convert to fraction form
    546.74/819.90 = 199.95/x
  3. Step 3: Cross multiply
    546.74x = 819.90 × 199.95
  4. Step 4: Simplify right side
    546.74x = 163,939.01
  5. Step 5: Solve for x
    x = 163,939.01/546.74
  6. Step 6: Final answer
    x = 299.85

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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.