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Finding the Fourth Proportional to 190.75, 285.84 and 122.07

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Solution

The fourth proportional to 190.75, 285.84 and 122.07 is: 182.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.75 : 285.84 = 122.07 : x
  2. Step 2: Convert to fraction form
    190.75/285.84 = 122.07/x
  3. Step 3: Cross multiply
    190.75x = 285.84 × 122.07
  4. Step 4: Simplify right side
    190.75x = 34,892.49
  5. Step 5: Solve for x
    x = 34,892.49/190.75
  6. Step 6: Final answer
    x = 182.92

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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.