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Finding the Fourth Proportional to 190.55, 262.85 and 135.27

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Solution

The fourth proportional to 190.55, 262.85 and 135.27 is: 186.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.55 : 262.85 = 135.27 : x
  2. Step 2: Convert to fraction form
    190.55/262.85 = 135.27/x
  3. Step 3: Cross multiply
    190.55x = 262.85 × 135.27
  4. Step 4: Simplify right side
    190.55x = 35,555.04
  5. Step 5: Solve for x
    x = 35,555.04/190.55
  6. Step 6: Final answer
    x = 186.59

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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.