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Finding the Fourth Proportional to 188.11, 281.76 and 182.44

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Solution

The fourth proportional to 188.11, 281.76 and 182.44 is: 273.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.11 : 281.76 = 182.44 : x
  2. Step 2: Convert to fraction form
    188.11/281.76 = 182.44/x
  3. Step 3: Cross multiply
    188.11x = 281.76 × 182.44
  4. Step 4: Simplify right side
    188.11x = 51,404.29
  5. Step 5: Solve for x
    x = 51,404.29/188.11
  6. Step 6: Final answer
    x = 273.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.