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Finding the Fourth Proportional to 195.90, 293.84 and 51.62

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Solution

The fourth proportional to 195.90, 293.84 and 51.62 is: 77.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.90 : 293.84 = 51.62 : x
  2. Step 2: Convert to fraction form
    195.90/293.84 = 51.62/x
  3. Step 3: Cross multiply
    195.90x = 293.84 × 51.62
  4. Step 4: Simplify right side
    195.90x = 15,166.49
  5. Step 5: Solve for x
    x = 15,166.49/195.90
  6. Step 6: Final answer
    x = 77.42

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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.