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Finding the Fourth Proportional to 195.30, 269.39 and 125.23

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Solution

The fourth proportional to 195.30, 269.39 and 125.23 is: 172.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.30 : 269.39 = 125.23 : x
  2. Step 2: Convert to fraction form
    195.30/269.39 = 125.23/x
  3. Step 3: Cross multiply
    195.30x = 269.39 × 125.23
  4. Step 4: Simplify right side
    195.30x = 33,735.71
  5. Step 5: Solve for x
    x = 33,735.71/195.30
  6. Step 6: Final answer
    x = 172.74

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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.