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Finding the Fourth Proportional to 547.01, 820.31 and 181.70

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Solution

The fourth proportional to 547.01, 820.31 and 181.70 is: 272.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.01 : 820.31 = 181.70 : x
  2. Step 2: Convert to fraction form
    547.01/820.31 = 181.70/x
  3. Step 3: Cross multiply
    547.01x = 820.31 × 181.70
  4. Step 4: Simplify right side
    547.01x = 149,046.23
  5. Step 5: Solve for x
    x = 149,046.23/547.01
  6. Step 6: Final answer
    x = 272.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.