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Finding the Fourth Proportional to 547.29, 820.91 and 181.98

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Solution

The fourth proportional to 547.29, 820.91 and 181.98 is: 272.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.29 : 820.91 = 181.98 : x
  2. Step 2: Convert to fraction form
    547.29/820.91 = 181.98/x
  3. Step 3: Cross multiply
    547.29x = 820.91 × 181.98
  4. Step 4: Simplify right side
    547.29x = 149,389.66
  5. Step 5: Solve for x
    x = 149,389.66/547.29
  6. Step 6: Final answer
    x = 272.96

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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.