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Finding the Fourth Proportional to 193.27, 264.71 and 182.05

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Solution

The fourth proportional to 193.27, 264.71 and 182.05 is: 249.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.27 : 264.71 = 182.05 : x
  2. Step 2: Convert to fraction form
    193.27/264.71 = 182.05/x
  3. Step 3: Cross multiply
    193.27x = 264.71 × 182.05
  4. Step 4: Simplify right side
    193.27x = 48,190.46
  5. Step 5: Solve for x
    x = 48,190.46/193.27
  6. Step 6: Final answer
    x = 249.34

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.