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Finding the Fourth Proportional to 183.54, 273.79 and 170.44

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Solution

The fourth proportional to 183.54, 273.79 and 170.44 is: 254.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.54 : 273.79 = 170.44 : x
  2. Step 2: Convert to fraction form
    183.54/273.79 = 170.44/x
  3. Step 3: Cross multiply
    183.54x = 273.79 × 170.44
  4. Step 4: Simplify right side
    183.54x = 46,664.77
  5. Step 5: Solve for x
    x = 46,664.77/183.54
  6. Step 6: Final answer
    x = 254.25

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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.