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Finding the Fourth Proportional to 195.52, 294.75 and 182.31

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Solution

The fourth proportional to 195.52, 294.75 and 182.31 is: 274.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.52 : 294.75 = 182.31 : x
  2. Step 2: Convert to fraction form
    195.52/294.75 = 182.31/x
  3. Step 3: Cross multiply
    195.52x = 294.75 × 182.31
  4. Step 4: Simplify right side
    195.52x = 53,735.87
  5. Step 5: Solve for x
    x = 53,735.87/195.52
  6. Step 6: Final answer
    x = 274.83

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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.