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Finding the Fourth Proportional to 546.87, 820.41 and 181.59

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Solution

The fourth proportional to 546.87, 820.41 and 181.59 is: 272.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.87 : 820.41 = 181.59 : x
  2. Step 2: Convert to fraction form
    546.87/820.41 = 181.59/x
  3. Step 3: Cross multiply
    546.87x = 820.41 × 181.59
  4. Step 4: Simplify right side
    546.87x = 148,978.25
  5. Step 5: Solve for x
    x = 148,978.25/546.87
  6. Step 6: Final answer
    x = 272.42

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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.