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Finding the Fourth Proportional to 185.37, 276.73 and 178.97

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Solution

The fourth proportional to 185.37, 276.73 and 178.97 is: 267.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.37 : 276.73 = 178.97 : x
  2. Step 2: Convert to fraction form
    185.37/276.73 = 178.97/x
  3. Step 3: Cross multiply
    185.37x = 276.73 × 178.97
  4. Step 4: Simplify right side
    185.37x = 49,524.09
  5. Step 5: Solve for x
    x = 49,524.09/185.37
  6. Step 6: Final answer
    x = 267.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.