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Finding the Fourth Proportional to 194.14, 290.90 and 91.40

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Solution

The fourth proportional to 194.14, 290.90 and 91.40 is: 136.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.14 : 290.90 = 91.40 : x
  2. Step 2: Convert to fraction form
    194.14/290.90 = 91.40/x
  3. Step 3: Cross multiply
    194.14x = 290.90 × 91.40
  4. Step 4: Simplify right side
    194.14x = 26,589.22
  5. Step 5: Solve for x
    x = 26,589.22/194.14
  6. Step 6: Final answer
    x = 136.96

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Why These Related Problems?

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