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Finding the Fourth Proportional to 547.46, 821.01 and 182.15

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Solution

The fourth proportional to 547.46, 821.01 and 182.15 is: 273.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.46 : 821.01 = 182.15 : x
  2. Step 2: Convert to fraction form
    547.46/821.01 = 182.15/x
  3. Step 3: Cross multiply
    547.46x = 821.01 × 182.15
  4. Step 4: Simplify right side
    547.46x = 149,546.97
  5. Step 5: Solve for x
    x = 149,546.97/547.46
  6. Step 6: Final answer
    x = 273.17

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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.