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Finding the Fourth Proportional to 194.32, 290.99 and 112.91

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Solution

The fourth proportional to 194.32, 290.99 and 112.91 is: 169.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.32 : 290.99 = 112.91 : x
  2. Step 2: Convert to fraction form
    194.32/290.99 = 112.91/x
  3. Step 3: Cross multiply
    194.32x = 290.99 × 112.91
  4. Step 4: Simplify right side
    194.32x = 32,855.68
  5. Step 5: Solve for x
    x = 32,855.68/194.32
  6. Step 6: Final answer
    x = 169.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.