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Finding the Fourth Proportional to 190.24, 262.37 and 128.14

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Solution

The fourth proportional to 190.24, 262.37 and 128.14 is: 176.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.24 : 262.37 = 128.14 : x
  2. Step 2: Convert to fraction form
    190.24/262.37 = 128.14/x
  3. Step 3: Cross multiply
    190.24x = 262.37 × 128.14
  4. Step 4: Simplify right side
    190.24x = 33,620.09
  5. Step 5: Solve for x
    x = 33,620.09/190.24
  6. Step 6: Final answer
    x = 176.72

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