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Finding the Fourth Proportional to 195.83, 293.87 and 122.75

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Solution

The fourth proportional to 195.83, 293.87 and 122.75 is: 184.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.83 : 293.87 = 122.75 : x
  2. Step 2: Convert to fraction form
    195.83/293.87 = 122.75/x
  3. Step 3: Cross multiply
    195.83x = 293.87 × 122.75
  4. Step 4: Simplify right side
    195.83x = 36,071.93
  5. Step 5: Solve for x
    x = 36,071.93/195.83
  6. Step 6: Final answer
    x = 184.20

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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.