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Finding the Fourth Proportional to 195.90, 295.32 and 182.69

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Solution

The fourth proportional to 195.90, 295.32 and 182.69 is: 275.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.90 : 295.32 = 182.69 : x
  2. Step 2: Convert to fraction form
    195.90/295.32 = 182.69/x
  3. Step 3: Cross multiply
    195.90x = 295.32 × 182.69
  4. Step 4: Simplify right side
    195.90x = 53,949.62
  5. Step 5: Solve for x
    x = 53,949.62/195.90
  6. Step 6: Final answer
    x = 275.39

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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.