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Finding the Fourth Proportional to 190.16, 262.23 and 138.05

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Solution

The fourth proportional to 190.16, 262.23 and 138.05 is: 190.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.16 : 262.23 = 138.05 : x
  2. Step 2: Convert to fraction form
    190.16/262.23 = 138.05/x
  3. Step 3: Cross multiply
    190.16x = 262.23 × 138.05
  4. Step 4: Simplify right side
    190.16x = 36,199.54
  5. Step 5: Solve for x
    x = 36,199.54/190.16
  6. Step 6: Final answer
    x = 190.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.