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Finding the Fourth Proportional to 194.23, 291.26 and 91.40

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Solution

The fourth proportional to 194.23, 291.26 and 91.40 is: 137.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.23 : 291.26 = 91.40 : x
  2. Step 2: Convert to fraction form
    194.23/291.26 = 91.40/x
  3. Step 3: Cross multiply
    194.23x = 291.26 × 91.40
  4. Step 4: Simplify right side
    194.23x = 26,619.94
  5. Step 5: Solve for x
    x = 26,619.94/194.23
  6. Step 6: Final answer
    x = 137.05

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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.