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Finding the Fourth Proportional to 190.22, 285.34 and 82.14

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Solution

The fourth proportional to 190.22, 285.34 and 82.14 is: 123.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.22 : 285.34 = 82.14 : x
  2. Step 2: Convert to fraction form
    190.22/285.34 = 82.14/x
  3. Step 3: Cross multiply
    190.22x = 285.34 × 82.14
  4. Step 4: Simplify right side
    190.22x = 23,437.83
  5. Step 5: Solve for x
    x = 23,437.83/190.22
  6. Step 6: Final answer
    x = 123.21

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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.