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Finding the Fourth Proportional to 190.94, 263.46 and 132.05

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Solution

The fourth proportional to 190.94, 263.46 and 132.05 is: 182.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.94 : 263.46 = 132.05 : x
  2. Step 2: Convert to fraction form
    190.94/263.46 = 132.05/x
  3. Step 3: Cross multiply
    190.94x = 263.46 × 132.05
  4. Step 4: Simplify right side
    190.94x = 34,788.58
  5. Step 5: Solve for x
    x = 34,788.58/190.94
  6. Step 6: Final answer
    x = 182.20

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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.