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Finding the Fourth Proportional to 185.82, 280.69 and 184.33

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Solution

The fourth proportional to 185.82, 280.69 and 184.33 is: 278.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.82 : 280.69 = 184.33 : x
  2. Step 2: Convert to fraction form
    185.82/280.69 = 184.33/x
  3. Step 3: Cross multiply
    185.82x = 280.69 × 184.33
  4. Step 4: Simplify right side
    185.82x = 51,739.59
  5. Step 5: Solve for x
    x = 51,739.59/185.82
  6. Step 6: Final answer
    x = 278.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.