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Finding the Fourth Proportional to 195.70, 293.57 and 51.42

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Solution

The fourth proportional to 195.70, 293.57 and 51.42 is: 77.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.70 : 293.57 = 51.42 : x
  2. Step 2: Convert to fraction form
    195.70/293.57 = 51.42/x
  3. Step 3: Cross multiply
    195.70x = 293.57 × 51.42
  4. Step 4: Simplify right side
    195.70x = 15,096.05
  5. Step 5: Solve for x
    x = 15,096.05/195.70
  6. Step 6: Final answer
    x = 77.14

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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.