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Finding the Fourth Proportional to 195.63, 269.82 and 130.23

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Solution

The fourth proportional to 195.63, 269.82 and 130.23 is: 179.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.63 : 269.82 = 130.23 : x
  2. Step 2: Convert to fraction form
    195.63/269.82 = 130.23/x
  3. Step 3: Cross multiply
    195.63x = 269.82 × 130.23
  4. Step 4: Simplify right side
    195.63x = 35,138.66
  5. Step 5: Solve for x
    x = 35,138.66/195.63
  6. Step 6: Final answer
    x = 179.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.