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Finding the Fourth Proportional to 194.97, 290.48 and 193.05

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Solution

The fourth proportional to 194.97, 290.48 and 193.05 is: 287.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.97 : 290.48 = 193.05 : x
  2. Step 2: Convert to fraction form
    194.97/290.48 = 193.05/x
  3. Step 3: Cross multiply
    194.97x = 290.48 × 193.05
  4. Step 4: Simplify right side
    194.97x = 56,076.20
  5. Step 5: Solve for x
    x = 56,076.20/194.97
  6. Step 6: Final answer
    x = 287.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.