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Finding the Fourth Proportional to 365.68, 547.82 and 182.86

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Solution

The fourth proportional to 365.68, 547.82 and 182.86 is: 273.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.68 : 547.82 = 182.86 : x
  2. Step 2: Convert to fraction form
    365.68/547.82 = 182.86/x
  3. Step 3: Cross multiply
    365.68x = 547.82 × 182.86
  4. Step 4: Simplify right side
    365.68x = 100,174.37
  5. Step 5: Solve for x
    x = 100,174.37/365.68
  6. Step 6: Final answer
    x = 273.94

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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.