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Finding the Fourth Proportional to 182.05, 272.94 and 84.49

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Solution

The fourth proportional to 182.05, 272.94 and 84.49 is: 126.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.05 : 272.94 = 84.49 : x
  2. Step 2: Convert to fraction form
    182.05/272.94 = 84.49/x
  3. Step 3: Cross multiply
    182.05x = 272.94 × 84.49
  4. Step 4: Simplify right side
    182.05x = 23,061.59
  5. Step 5: Solve for x
    x = 23,061.59/182.05
  6. Step 6: Final answer
    x = 126.68

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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.