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Finding the Fourth Proportional to 190.81, 263.14 and 120.79

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Solution

The fourth proportional to 190.81, 263.14 and 120.79 is: 166.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.81 : 263.14 = 120.79 : x
  2. Step 2: Convert to fraction form
    190.81/263.14 = 120.79/x
  3. Step 3: Cross multiply
    190.81x = 263.14 × 120.79
  4. Step 4: Simplify right side
    190.81x = 31,783.72
  5. Step 5: Solve for x
    x = 31,783.72/190.81
  6. Step 6: Final answer
    x = 166.57

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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.