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Finding the Fourth Proportional to 182.39, 273.47 and 66.83

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Solution

The fourth proportional to 182.39, 273.47 and 66.83 is: 100.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.39 : 273.47 = 66.83 : x
  2. Step 2: Convert to fraction form
    182.39/273.47 = 66.83/x
  3. Step 3: Cross multiply
    182.39x = 273.47 × 66.83
  4. Step 4: Simplify right side
    182.39x = 18,274.30
  5. Step 5: Solve for x
    x = 18,274.30/182.39
  6. Step 6: Final answer
    x = 100.20

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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.