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Finding the Fourth Proportional to 195.49, 294.73 and 182.27

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Solution

The fourth proportional to 195.49, 294.73 and 182.27 is: 274.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.49 : 294.73 = 182.27 : x
  2. Step 2: Convert to fraction form
    195.49/294.73 = 182.27/x
  3. Step 3: Cross multiply
    195.49x = 294.73 × 182.27
  4. Step 4: Simplify right side
    195.49x = 53,718.96
  5. Step 5: Solve for x
    x = 53,718.96/195.49
  6. Step 6: Final answer
    x = 274.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.