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Finding the Fourth Proportional to 184.73, 276.75 and 111.42

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Solution

The fourth proportional to 184.73, 276.75 and 111.42 is: 166.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.73 : 276.75 = 111.42 : x
  2. Step 2: Convert to fraction form
    184.73/276.75 = 111.42/x
  3. Step 3: Cross multiply
    184.73x = 276.75 × 111.42
  4. Step 4: Simplify right side
    184.73x = 30,835.49
  5. Step 5: Solve for x
    x = 30,835.49/184.73
  6. Step 6: Final answer
    x = 166.93

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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.