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Finding the Fourth Proportional to 194.50, 291.79 and 80.50

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Solution

The fourth proportional to 194.50, 291.79 and 80.50 is: 120.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.50 : 291.79 = 80.50 : x
  2. Step 2: Convert to fraction form
    194.50/291.79 = 80.50/x
  3. Step 3: Cross multiply
    194.50x = 291.79 × 80.50
  4. Step 4: Simplify right side
    194.50x = 23,489.10
  5. Step 5: Solve for x
    x = 23,489.10/194.50
  6. Step 6: Final answer
    x = 120.77

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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.