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Finding the Fourth Proportional to 546.09, 819.09 and 180.87

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Solution

The fourth proportional to 546.09, 819.09 and 180.87 is: 271.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.09 : 819.09 = 180.87 : x
  2. Step 2: Convert to fraction form
    546.09/819.09 = 180.87/x
  3. Step 3: Cross multiply
    546.09x = 819.09 × 180.87
  4. Step 4: Simplify right side
    546.09x = 148,148.81
  5. Step 5: Solve for x
    x = 148,148.81/546.09
  6. Step 6: Final answer
    x = 271.29

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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.