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Finding the Fourth Proportional to 193.23, 287.84 and 182.97

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Solution

The fourth proportional to 193.23, 287.84 and 182.97 is: 272.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.23 : 287.84 = 182.97 : x
  2. Step 2: Convert to fraction form
    193.23/287.84 = 182.97/x
  3. Step 3: Cross multiply
    193.23x = 287.84 × 182.97
  4. Step 4: Simplify right side
    193.23x = 52,666.54
  5. Step 5: Solve for x
    x = 52,666.54/193.23
  6. Step 6: Final answer
    x = 272.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.