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Finding the Fourth Proportional to 194.47, 268.30 and 132.33

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Solution

The fourth proportional to 194.47, 268.30 and 132.33 is: 182.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.47 : 268.30 = 132.33 : x
  2. Step 2: Convert to fraction form
    194.47/268.30 = 132.33/x
  3. Step 3: Cross multiply
    194.47x = 268.30 × 132.33
  4. Step 4: Simplify right side
    194.47x = 35,504.14
  5. Step 5: Solve for x
    x = 35,504.14/194.47
  6. Step 6: Final answer
    x = 182.57

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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.