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Finding the Fourth Proportional to 190.93, 262.76 and 182.73

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Solution

The fourth proportional to 190.93, 262.76 and 182.73 is: 251.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.93 : 262.76 = 182.73 : x
  2. Step 2: Convert to fraction form
    190.93/262.76 = 182.73/x
  3. Step 3: Cross multiply
    190.93x = 262.76 × 182.73
  4. Step 4: Simplify right side
    190.93x = 48,012.24
  5. Step 5: Solve for x
    x = 48,012.24/190.93
  6. Step 6: Final answer
    x = 251.47

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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.