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Finding the Fourth Proportional to 182.36, 251.44 and 133.24

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Solution

The fourth proportional to 182.36, 251.44 and 133.24 is: 183.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.36 : 251.44 = 133.24 : x
  2. Step 2: Convert to fraction form
    182.36/251.44 = 133.24/x
  3. Step 3: Cross multiply
    182.36x = 251.44 × 133.24
  4. Step 4: Simplify right side
    182.36x = 33,501.87
  5. Step 5: Solve for x
    x = 33,501.87/182.36
  6. Step 6: Final answer
    x = 183.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.