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Finding the Fourth Proportional to 194.75, 290.41 and 190.09

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Solution

The fourth proportional to 194.75, 290.41 and 190.09 is: 283.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.75 : 290.41 = 190.09 : x
  2. Step 2: Convert to fraction form
    194.75/290.41 = 190.09/x
  3. Step 3: Cross multiply
    194.75x = 290.41 × 190.09
  4. Step 4: Simplify right side
    194.75x = 55,204.04
  5. Step 5: Solve for x
    x = 55,204.04/194.75
  6. Step 6: Final answer
    x = 283.46

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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.