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Finding the Fourth Proportional to 205.85, 283.50 and 178.21

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Solution

The fourth proportional to 205.85, 283.50 and 178.21 is: 245.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.85 : 283.50 = 178.21 : x
  2. Step 2: Convert to fraction form
    205.85/283.50 = 178.21/x
  3. Step 3: Cross multiply
    205.85x = 283.50 × 178.21
  4. Step 4: Simplify right side
    205.85x = 50,521.83
  5. Step 5: Solve for x
    x = 50,521.83/205.85
  6. Step 6: Final answer
    x = 245.43

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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.