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Finding the Fourth Proportional to 190.23, 262.19 and 184.97

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Solution

The fourth proportional to 190.23, 262.19 and 184.97 is: 254.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.23 : 262.19 = 184.97 : x
  2. Step 2: Convert to fraction form
    190.23/262.19 = 184.97/x
  3. Step 3: Cross multiply
    190.23x = 262.19 × 184.97
  4. Step 4: Simplify right side
    190.23x = 48,497.28
  5. Step 5: Solve for x
    x = 48,497.28/190.23
  6. Step 6: Final answer
    x = 254.94

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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.