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Finding the Fourth Proportional to 195.80, 293.66 and 51.50

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Solution

The fourth proportional to 195.80, 293.66 and 51.50 is: 77.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.80 : 293.66 = 51.50 : x
  2. Step 2: Convert to fraction form
    195.80/293.66 = 51.50/x
  3. Step 3: Cross multiply
    195.80x = 293.66 × 51.50
  4. Step 4: Simplify right side
    195.80x = 15,123.49
  5. Step 5: Solve for x
    x = 15,123.49/195.80
  6. Step 6: Final answer
    x = 77.24

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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.