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Finding the Fourth Proportional to 205.46, 283.33 and 138.03

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Solution

The fourth proportional to 205.46, 283.33 and 138.03 is: 190.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.46 : 283.33 = 138.03 : x
  2. Step 2: Convert to fraction form
    205.46/283.33 = 138.03/x
  3. Step 3: Cross multiply
    205.46x = 283.33 × 138.03
  4. Step 4: Simplify right side
    205.46x = 39,108.04
  5. Step 5: Solve for x
    x = 39,108.04/205.46
  6. Step 6: Final answer
    x = 190.34

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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.