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Finding the Fourth Proportional to 195.49, 269.79 and 145.07

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Solution

The fourth proportional to 195.49, 269.79 and 145.07 is: 200.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.49 : 269.79 = 145.07 : x
  2. Step 2: Convert to fraction form
    195.49/269.79 = 145.07/x
  3. Step 3: Cross multiply
    195.49x = 269.79 × 145.07
  4. Step 4: Simplify right side
    195.49x = 39,138.44
  5. Step 5: Solve for x
    x = 39,138.44/195.49
  6. Step 6: Final answer
    x = 200.21

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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.