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Finding the Fourth Proportional to 182.36, 273.52 and 52.37

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Solution

The fourth proportional to 182.36, 273.52 and 52.37 is: 78.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.36 : 273.52 = 52.37 : x
  2. Step 2: Convert to fraction form
    182.36/273.52 = 52.37/x
  3. Step 3: Cross multiply
    182.36x = 273.52 × 52.37
  4. Step 4: Simplify right side
    182.36x = 14,324.80
  5. Step 5: Solve for x
    x = 14,324.80/182.36
  6. Step 6: Final answer
    x = 78.55

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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.