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Finding the Fourth Proportional to 190.33, 262.67 and 116.63

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Solution

The fourth proportional to 190.33, 262.67 and 116.63 is: 160.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.33 : 262.67 = 116.63 : x
  2. Step 2: Convert to fraction form
    190.33/262.67 = 116.63/x
  3. Step 3: Cross multiply
    190.33x = 262.67 × 116.63
  4. Step 4: Simplify right side
    190.33x = 30,633.31
  5. Step 5: Solve for x
    x = 30,633.31/190.33
  6. Step 6: Final answer
    x = 160.95

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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.