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Finding the Fourth Proportional to 195.76, 269.20 and 190

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Solution

The fourth proportional to 195.76, 269.20 and 190 is: 261.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.76 : 269.20 = 190 : x
  2. Step 2: Convert to fraction form
    195.76/269.20 = 190/x
  3. Step 3: Cross multiply
    195.76x = 269.20 × 190
  4. Step 4: Simplify right side
    195.76x = 51,148
  5. Step 5: Solve for x
    x = 51,148/195.76
  6. Step 6: Final answer
    x = 261.28

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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.