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Finding the Fourth Proportional to 182.10, 272.70 and 151.44

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Solution

The fourth proportional to 182.10, 272.70 and 151.44 is: 226.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.10 : 272.70 = 151.44 : x
  2. Step 2: Convert to fraction form
    182.10/272.70 = 151.44/x
  3. Step 3: Cross multiply
    182.10x = 272.70 × 151.44
  4. Step 4: Simplify right side
    182.10x = 41,297.69
  5. Step 5: Solve for x
    x = 41,297.69/182.10
  6. Step 6: Final answer
    x = 226.79

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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.