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Finding the Fourth Proportional to 365.27, 547.70 and 182.57

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Solution

The fourth proportional to 365.27, 547.70 and 182.57 is: 273.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.27 : 547.70 = 182.57 : x
  2. Step 2: Convert to fraction form
    365.27/547.70 = 182.57/x
  3. Step 3: Cross multiply
    365.27x = 547.70 × 182.57
  4. Step 4: Simplify right side
    365.27x = 99,989.94
  5. Step 5: Solve for x
    x = 99,989.94/365.27
  6. Step 6: Final answer
    x = 273.75

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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.