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Finding the Fourth Proportional to 184.84, 255.16 and 119.44

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Solution

The fourth proportional to 184.84, 255.16 and 119.44 is: 164.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.84 : 255.16 = 119.44 : x
  2. Step 2: Convert to fraction form
    184.84/255.16 = 119.44/x
  3. Step 3: Cross multiply
    184.84x = 255.16 × 119.44
  4. Step 4: Simplify right side
    184.84x = 30,476.31
  5. Step 5: Solve for x
    x = 30,476.31/184.84
  6. Step 6: Final answer
    x = 164.88

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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.