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Finding the Fourth Proportional to 194.55, 291.89 and 122.46

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Solution

The fourth proportional to 194.55, 291.89 and 122.46 is: 183.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.55 : 291.89 = 122.46 : x
  2. Step 2: Convert to fraction form
    194.55/291.89 = 122.46/x
  3. Step 3: Cross multiply
    194.55x = 291.89 × 122.46
  4. Step 4: Simplify right side
    194.55x = 35,744.85
  5. Step 5: Solve for x
    x = 35,744.85/194.55
  6. Step 6: Final answer
    x = 183.73

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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.