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Finding the Fourth Proportional to 190.44, 262.56 and 135.24

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Solution

The fourth proportional to 190.44, 262.56 and 135.24 is: 186.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.44 : 262.56 = 135.24 : x
  2. Step 2: Convert to fraction form
    190.44/262.56 = 135.24/x
  3. Step 3: Cross multiply
    190.44x = 262.56 × 135.24
  4. Step 4: Simplify right side
    190.44x = 35,508.61
  5. Step 5: Solve for x
    x = 35,508.61/190.44
  6. Step 6: Final answer
    x = 186.46

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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.