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Finding the Fourth Proportional to 195.81, 269.93 and 154.28

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Solution

The fourth proportional to 195.81, 269.93 and 154.28 is: 212.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.81 : 269.93 = 154.28 : x
  2. Step 2: Convert to fraction form
    195.81/269.93 = 154.28/x
  3. Step 3: Cross multiply
    195.81x = 269.93 × 154.28
  4. Step 4: Simplify right side
    195.81x = 41,645.48
  5. Step 5: Solve for x
    x = 41,645.48/195.81
  6. Step 6: Final answer
    x = 212.68

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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.