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Finding the Fourth Proportional to 194.51, 291.57 and 122.42

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Solution

The fourth proportional to 194.51, 291.57 and 122.42 is: 183.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.51 : 291.57 = 122.42 : x
  2. Step 2: Convert to fraction form
    194.51/291.57 = 122.42/x
  3. Step 3: Cross multiply
    194.51x = 291.57 × 122.42
  4. Step 4: Simplify right side
    194.51x = 35,694.00
  5. Step 5: Solve for x
    x = 35,694.00/194.51
  6. Step 6: Final answer
    x = 183.51

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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.