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Finding the Fourth Proportional to 197.70, 295.78 and 170.06

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Solution

The fourth proportional to 197.70, 295.78 and 170.06 is: 254.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.70 : 295.78 = 170.06 : x
  2. Step 2: Convert to fraction form
    197.70/295.78 = 170.06/x
  3. Step 3: Cross multiply
    197.70x = 295.78 × 170.06
  4. Step 4: Simplify right side
    197.70x = 50,300.35
  5. Step 5: Solve for x
    x = 50,300.35/197.70
  6. Step 6: Final answer
    x = 254.43

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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.