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Finding the Fourth Proportional to 195.78, 293.68 and 51.50

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Solution

The fourth proportional to 195.78, 293.68 and 51.50 is: 77.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.78 : 293.68 = 51.50 : x
  2. Step 2: Convert to fraction form
    195.78/293.68 = 51.50/x
  3. Step 3: Cross multiply
    195.78x = 293.68 × 51.50
  4. Step 4: Simplify right side
    195.78x = 15,124.26
  5. Step 5: Solve for x
    x = 15,124.26/195.78
  6. Step 6: Final answer
    x = 77.25

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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.