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Finding the Fourth Proportional to 190.46, 285.46 and 82.13

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Solution

The fourth proportional to 190.46, 285.46 and 82.13 is: 123.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.46 : 285.46 = 82.13 : x
  2. Step 2: Convert to fraction form
    190.46/285.46 = 82.13/x
  3. Step 3: Cross multiply
    190.46x = 285.46 × 82.13
  4. Step 4: Simplify right side
    190.46x = 23,443.20
  5. Step 5: Solve for x
    x = 23,443.20/190.46
  6. Step 6: Final answer
    x = 123.09

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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.