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Finding the Fourth Proportional to 442.64, 663.69 and 182.56

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Solution

The fourth proportional to 442.64, 663.69 and 182.56 is: 273.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.64 : 663.69 = 182.56 : x
  2. Step 2: Convert to fraction form
    442.64/663.69 = 182.56/x
  3. Step 3: Cross multiply
    442.64x = 663.69 × 182.56
  4. Step 4: Simplify right side
    442.64x = 121,163.25
  5. Step 5: Solve for x
    x = 121,163.25/442.64
  6. Step 6: Final answer
    x = 273.73

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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.