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Finding the Fourth Proportional to 194.43, 290.59 and 179.06

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Solution

The fourth proportional to 194.43, 290.59 and 179.06 is: 267.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.43 : 290.59 = 179.06 : x
  2. Step 2: Convert to fraction form
    194.43/290.59 = 179.06/x
  3. Step 3: Cross multiply
    194.43x = 290.59 × 179.06
  4. Step 4: Simplify right side
    194.43x = 52,033.05
  5. Step 5: Solve for x
    x = 52,033.05/194.43
  6. Step 6: Final answer
    x = 267.62

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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.