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Finding the Fourth Proportional to 195.70, 270.93 and 171.70

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Solution

The fourth proportional to 195.70, 270.93 and 171.70 is: 237.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.70 : 270.93 = 171.70 : x
  2. Step 2: Convert to fraction form
    195.70/270.93 = 171.70/x
  3. Step 3: Cross multiply
    195.70x = 270.93 × 171.70
  4. Step 4: Simplify right side
    195.70x = 46,518.68
  5. Step 5: Solve for x
    x = 46,518.68/195.70
  6. Step 6: Final answer
    x = 237.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.