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Finding the Fourth Proportional to 205.99, 284.31 and 140.58

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Solution

The fourth proportional to 205.99, 284.31 and 140.58 is: 194.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.99 : 284.31 = 140.58 : x
  2. Step 2: Convert to fraction form
    205.99/284.31 = 140.58/x
  3. Step 3: Cross multiply
    205.99x = 284.31 × 140.58
  4. Step 4: Simplify right side
    205.99x = 39,968.30
  5. Step 5: Solve for x
    x = 39,968.30/205.99
  6. Step 6: Final answer
    x = 194.03

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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.