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Finding the Fourth Proportional to 182.37, 273.59 and 66.82

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Solution

The fourth proportional to 182.37, 273.59 and 66.82 is: 100.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.37 : 273.59 = 66.82 : x
  2. Step 2: Convert to fraction form
    182.37/273.59 = 66.82/x
  3. Step 3: Cross multiply
    182.37x = 273.59 × 66.82
  4. Step 4: Simplify right side
    182.37x = 18,281.28
  5. Step 5: Solve for x
    x = 18,281.28/182.37
  6. Step 6: Final answer
    x = 100.24

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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.