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Finding the Fourth Proportional to 547.40, 821.12 and 182.18

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Solution

The fourth proportional to 547.40, 821.12 and 182.18 is: 273.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.40 : 821.12 = 182.18 : x
  2. Step 2: Convert to fraction form
    547.40/821.12 = 182.18/x
  3. Step 3: Cross multiply
    547.40x = 821.12 × 182.18
  4. Step 4: Simplify right side
    547.40x = 149,592.78
  5. Step 5: Solve for x
    x = 149,592.78/547.40
  6. Step 6: Final answer
    x = 273.28

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Similar ratio
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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.