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Finding the Fourth Proportional to 547.35, 821.17 and 182.13

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Solution

The fourth proportional to 547.35, 821.17 and 182.13 is: 273.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.35 : 821.17 = 182.13 : x
  2. Step 2: Convert to fraction form
    547.35/821.17 = 182.13/x
  3. Step 3: Cross multiply
    547.35x = 821.17 × 182.13
  4. Step 4: Simplify right side
    547.35x = 149,559.69
  5. Step 5: Solve for x
    x = 149,559.69/547.35
  6. Step 6: Final answer
    x = 273.24

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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.