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Finding the Fourth Proportional to 275, 412.68 and 130.73

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Solution

The fourth proportional to 275, 412.68 and 130.73 is: 196.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    275 : 412.68 = 130.73 : x
  2. Step 2: Convert to fraction form
    275/412.68 = 130.73/x
  3. Step 3: Cross multiply
    275x = 412.68 × 130.73
  4. Step 4: Simplify right side
    275x = 53,949.66
  5. Step 5: Solve for x
    x = 53,949.66/275
  6. Step 6: Final answer
    x = 196.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.