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Finding the Fourth Proportional to 182.39, 273.63 and 109.34

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Solution

The fourth proportional to 182.39, 273.63 and 109.34 is: 164.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.39 : 273.63 = 109.34 : x
  2. Step 2: Convert to fraction form
    182.39/273.63 = 109.34/x
  3. Step 3: Cross multiply
    182.39x = 273.63 × 109.34
  4. Step 4: Simplify right side
    182.39x = 29,919.39
  5. Step 5: Solve for x
    x = 29,919.39/182.39
  6. Step 6: Final answer
    x = 164.05

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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.