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Finding the Fourth Proportional to 182.39, 273.31 and 90.95

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Solution

The fourth proportional to 182.39, 273.31 and 90.95 is: 136.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.39 : 273.31 = 90.95 : x
  2. Step 2: Convert to fraction form
    182.39/273.31 = 90.95/x
  3. Step 3: Cross multiply
    182.39x = 273.31 × 90.95
  4. Step 4: Simplify right side
    182.39x = 24,855.95
  5. Step 5: Solve for x
    x = 24,855.95/182.39
  6. Step 6: Final answer
    x = 136.28

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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.