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Finding the Fourth Proportional to 190.16, 262.36 and 120.20

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Solution

The fourth proportional to 190.16, 262.36 and 120.20 is: 165.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.16 : 262.36 = 120.20 : x
  2. Step 2: Convert to fraction form
    190.16/262.36 = 120.20/x
  3. Step 3: Cross multiply
    190.16x = 262.36 × 120.20
  4. Step 4: Simplify right side
    190.16x = 31,535.67
  5. Step 5: Solve for x
    x = 31,535.67/190.16
  6. Step 6: Final answer
    x = 165.84

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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.