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Finding the Fourth Proportional to 546.97, 820.27 and 181.67

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Solution

The fourth proportional to 546.97, 820.27 and 181.67 is: 272.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.97 : 820.27 = 181.67 : x
  2. Step 2: Convert to fraction form
    546.97/820.27 = 181.67/x
  3. Step 3: Cross multiply
    546.97x = 820.27 × 181.67
  4. Step 4: Simplify right side
    546.97x = 149,018.45
  5. Step 5: Solve for x
    x = 149,018.45/546.97
  6. Step 6: Final answer
    x = 272.44

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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.