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Finding the Fourth Proportional to 205.75, 283.61 and 140.14

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Solution

The fourth proportional to 205.75, 283.61 and 140.14 is: 193.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.75 : 283.61 = 140.14 : x
  2. Step 2: Convert to fraction form
    205.75/283.61 = 140.14/x
  3. Step 3: Cross multiply
    205.75x = 283.61 × 140.14
  4. Step 4: Simplify right side
    205.75x = 39,744.75
  5. Step 5: Solve for x
    x = 39,744.75/205.75
  6. Step 6: Final answer
    x = 193.17

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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.