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Finding the Fourth Proportional to 184.92, 255.44 and 144

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Solution

The fourth proportional to 184.92, 255.44 and 144 is: 198.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.92 : 255.44 = 144 : x
  2. Step 2: Convert to fraction form
    184.92/255.44 = 144/x
  3. Step 3: Cross multiply
    184.92x = 255.44 × 144
  4. Step 4: Simplify right side
    184.92x = 36,783.36
  5. Step 5: Solve for x
    x = 36,783.36/184.92
  6. Step 6: Final answer
    x = 198.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.