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Finding the Fourth Proportional to 190.15, 285.68 and 163.72

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Solution

The fourth proportional to 190.15, 285.68 and 163.72 is: 245.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.15 : 285.68 = 163.72 : x
  2. Step 2: Convert to fraction form
    190.15/285.68 = 163.72/x
  3. Step 3: Cross multiply
    190.15x = 285.68 × 163.72
  4. Step 4: Simplify right side
    190.15x = 46,771.38
  5. Step 5: Solve for x
    x = 46,771.38/190.15
  6. Step 6: Final answer
    x = 245.97

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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.