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Finding the Fourth Proportional to 190.34, 262.97 and 141.84

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Solution

The fourth proportional to 190.34, 262.97 and 141.84 is: 195.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.34 : 262.97 = 141.84 : x
  2. Step 2: Convert to fraction form
    190.34/262.97 = 141.84/x
  3. Step 3: Cross multiply
    190.34x = 262.97 × 141.84
  4. Step 4: Simplify right side
    190.34x = 37,300.02
  5. Step 5: Solve for x
    x = 37,300.02/190.34
  6. Step 6: Final answer
    x = 195.96

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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.