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Finding the Fourth Proportional to 182.38, 273.64 and 84.93

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Solution

The fourth proportional to 182.38, 273.64 and 84.93 is: 127.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.38 : 273.64 = 84.93 : x
  2. Step 2: Convert to fraction form
    182.38/273.64 = 84.93/x
  3. Step 3: Cross multiply
    182.38x = 273.64 × 84.93
  4. Step 4: Simplify right side
    182.38x = 23,240.25
  5. Step 5: Solve for x
    x = 23,240.25/182.38
  6. Step 6: Final answer
    x = 127.43

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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.