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Finding the Fourth Proportional to 190.36, 285.30 and 82.04

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Solution

The fourth proportional to 190.36, 285.30 and 82.04 is: 122.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.36 : 285.30 = 82.04 : x
  2. Step 2: Convert to fraction form
    190.36/285.30 = 82.04/x
  3. Step 3: Cross multiply
    190.36x = 285.30 × 82.04
  4. Step 4: Simplify right side
    190.36x = 23,406.01
  5. Step 5: Solve for x
    x = 23,406.01/190.36
  6. Step 6: Final answer
    x = 122.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.