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Finding the Fourth Proportional to 190.24, 262.52 and 141.10

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Solution

The fourth proportional to 190.24, 262.52 and 141.10 is: 194.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.24 : 262.52 = 141.10 : x
  2. Step 2: Convert to fraction form
    190.24/262.52 = 141.10/x
  3. Step 3: Cross multiply
    190.24x = 262.52 × 141.10
  4. Step 4: Simplify right side
    190.24x = 37,041.57
  5. Step 5: Solve for x
    x = 37,041.57/190.24
  6. Step 6: Final answer
    x = 194.71

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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.