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Finding the Fourth Proportional to 546.14, 819.42 and 199.74

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Solution

The fourth proportional to 546.14, 819.42 and 199.74 is: 299.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.14 : 819.42 = 199.74 : x
  2. Step 2: Convert to fraction form
    546.14/819.42 = 199.74/x
  3. Step 3: Cross multiply
    546.14x = 819.42 × 199.74
  4. Step 4: Simplify right side
    546.14x = 163,670.95
  5. Step 5: Solve for x
    x = 163,670.95/546.14
  6. Step 6: Final answer
    x = 299.69

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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.