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Finding the Fourth Proportional to 182.11, 272.92 and 90.78

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Solution

The fourth proportional to 182.11, 272.92 and 90.78 is: 136.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.11 : 272.92 = 90.78 : x
  2. Step 2: Convert to fraction form
    182.11/272.92 = 90.78/x
  3. Step 3: Cross multiply
    182.11x = 272.92 × 90.78
  4. Step 4: Simplify right side
    182.11x = 24,775.68
  5. Step 5: Solve for x
    x = 24,775.68/182.11
  6. Step 6: Final answer
    x = 136.05

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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.