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Finding the Fourth Proportional to 190.52, 262.98 and 141.56

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Solution

The fourth proportional to 190.52, 262.98 and 141.56 is: 195.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.52 : 262.98 = 141.56 : x
  2. Step 2: Convert to fraction form
    190.52/262.98 = 141.56/x
  3. Step 3: Cross multiply
    190.52x = 262.98 × 141.56
  4. Step 4: Simplify right side
    190.52x = 37,227.45
  5. Step 5: Solve for x
    x = 37,227.45/190.52
  6. Step 6: Final answer
    x = 195.40

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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.