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Finding the Fourth Proportional to 546.89, 819.84 and 200.16

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Solution

The fourth proportional to 546.89, 819.84 and 200.16 is: 300.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.89 : 819.84 = 200.16 : x
  2. Step 2: Convert to fraction form
    546.89/819.84 = 200.16/x
  3. Step 3: Cross multiply
    546.89x = 819.84 × 200.16
  4. Step 4: Simplify right side
    546.89x = 164,099.17
  5. Step 5: Solve for x
    x = 164,099.17/546.89
  6. Step 6: Final answer
    x = 300.06

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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.