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Finding the Fourth Proportional to 205.82, 284.02 and 140.34

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Solution

The fourth proportional to 205.82, 284.02 and 140.34 is: 193.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.82 : 284.02 = 140.34 : x
  2. Step 2: Convert to fraction form
    205.82/284.02 = 140.34/x
  3. Step 3: Cross multiply
    205.82x = 284.02 × 140.34
  4. Step 4: Simplify right side
    205.82x = 39,859.37
  5. Step 5: Solve for x
    x = 39,859.37/205.82
  6. Step 6: Final answer
    x = 193.66

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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.