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Finding the Fourth Proportional to 190.66, 262.99 and 116.95

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Solution

The fourth proportional to 190.66, 262.99 and 116.95 is: 161.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.66 : 262.99 = 116.95 : x
  2. Step 2: Convert to fraction form
    190.66/262.99 = 116.95/x
  3. Step 3: Cross multiply
    190.66x = 262.99 × 116.95
  4. Step 4: Simplify right side
    190.66x = 30,756.68
  5. Step 5: Solve for x
    x = 30,756.68/190.66
  6. Step 6: Final answer
    x = 161.32

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Why These Related Problems?

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