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Finding the Fourth Proportional to 546.39, 819.57 and 181.08

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Solution

The fourth proportional to 546.39, 819.57 and 181.08 is: 271.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.39 : 819.57 = 181.08 : x
  2. Step 2: Convert to fraction form
    546.39/819.57 = 181.08/x
  3. Step 3: Cross multiply
    546.39x = 819.57 × 181.08
  4. Step 4: Simplify right side
    546.39x = 148,407.74
  5. Step 5: Solve for x
    x = 148,407.74/546.39
  6. Step 6: Final answer
    x = 271.62

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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.