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Finding the Fourth Proportional to 194.66, 291.89 and 71.22

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Solution

The fourth proportional to 194.66, 291.89 and 71.22 is: 106.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.66 : 291.89 = 71.22 : x
  2. Step 2: Convert to fraction form
    194.66/291.89 = 71.22/x
  3. Step 3: Cross multiply
    194.66x = 291.89 × 71.22
  4. Step 4: Simplify right side
    194.66x = 20,788.05
  5. Step 5: Solve for x
    x = 20,788.05/194.66
  6. Step 6: Final answer
    x = 106.79

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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.