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Finding the Fourth Proportional to 195.65, 293.46 and 51.37

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Solution

The fourth proportional to 195.65, 293.46 and 51.37 is: 77.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.65 : 293.46 = 51.37 : x
  2. Step 2: Convert to fraction form
    195.65/293.46 = 51.37/x
  3. Step 3: Cross multiply
    195.65x = 293.46 × 51.37
  4. Step 4: Simplify right side
    195.65x = 15,073.70
  5. Step 5: Solve for x
    x = 15,073.70/195.65
  6. Step 6: Final answer
    x = 77.05

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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.