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Finding the Fourth Proportional to 190.06, 262.16 and 120.06

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Solution

The fourth proportional to 190.06, 262.16 and 120.06 is: 165.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.06 : 262.16 = 120.06 : x
  2. Step 2: Convert to fraction form
    190.06/262.16 = 120.06/x
  3. Step 3: Cross multiply
    190.06x = 262.16 × 120.06
  4. Step 4: Simplify right side
    190.06x = 31,473.80
  5. Step 5: Solve for x
    x = 31,473.80/190.06
  6. Step 6: Final answer
    x = 165.60

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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.