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Finding the Fourth Proportional to 195.60, 293.50 and 122.46

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Solution

The fourth proportional to 195.60, 293.50 and 122.46 is: 183.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.60 : 293.50 = 122.46 : x
  2. Step 2: Convert to fraction form
    195.60/293.50 = 122.46/x
  3. Step 3: Cross multiply
    195.60x = 293.50 × 122.46
  4. Step 4: Simplify right side
    195.60x = 35,939.93
  5. Step 5: Solve for x
    x = 35,939.93/195.60
  6. Step 6: Final answer
    x = 183.74

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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.