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Finding the Fourth Proportional to 365.21, 547.82 and 182.56

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Solution

The fourth proportional to 365.21, 547.82 and 182.56 is: 273.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.21 : 547.82 = 182.56 : x
  2. Step 2: Convert to fraction form
    365.21/547.82 = 182.56/x
  3. Step 3: Cross multiply
    365.21x = 547.82 × 182.56
  4. Step 4: Simplify right side
    365.21x = 100,010.02
  5. Step 5: Solve for x
    x = 100,010.02/365.21
  6. Step 6: Final answer
    x = 273.84

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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.