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Finding the Fourth Proportional to 182.42, 273.68 and 74.34

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Solution

The fourth proportional to 182.42, 273.68 and 74.34 is: 111.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.42 : 273.68 = 74.34 : x
  2. Step 2: Convert to fraction form
    182.42/273.68 = 74.34/x
  3. Step 3: Cross multiply
    182.42x = 273.68 × 74.34
  4. Step 4: Simplify right side
    182.42x = 20,345.37
  5. Step 5: Solve for x
    x = 20,345.37/182.42
  6. Step 6: Final answer
    x = 111.53

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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.