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Finding the Fourth Proportional to 190.95, 263.67 and 138.70

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Solution

The fourth proportional to 190.95, 263.67 and 138.70 is: 191.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.95 : 263.67 = 138.70 : x
  2. Step 2: Convert to fraction form
    190.95/263.67 = 138.70/x
  3. Step 3: Cross multiply
    190.95x = 263.67 × 138.70
  4. Step 4: Simplify right side
    190.95x = 36,571.03
  5. Step 5: Solve for x
    x = 36,571.03/190.95
  6. Step 6: Final answer
    x = 191.52

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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.