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Finding the Fourth Proportional to 195.86, 270.27 and 112.93

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Solution

The fourth proportional to 195.86, 270.27 and 112.93 is: 155.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.86 : 270.27 = 112.93 : x
  2. Step 2: Convert to fraction form
    195.86/270.27 = 112.93/x
  3. Step 3: Cross multiply
    195.86x = 270.27 × 112.93
  4. Step 4: Simplify right side
    195.86x = 30,522.01
  5. Step 5: Solve for x
    x = 30,522.01/195.86
  6. Step 6: Final answer
    x = 155.84

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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.