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Finding the Fourth Proportional to 190.63, 285.42 and 144.22

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Solution

The fourth proportional to 190.63, 285.42 and 144.22 is: 215.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.63 : 285.42 = 144.22 : x
  2. Step 2: Convert to fraction form
    190.63/285.42 = 144.22/x
  3. Step 3: Cross multiply
    190.63x = 285.42 × 144.22
  4. Step 4: Simplify right side
    190.63x = 41,163.27
  5. Step 5: Solve for x
    x = 41,163.27/190.63
  6. Step 6: Final answer
    x = 215.93

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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.