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Finding the Fourth Proportional to 331.94, 457.92 and 205.85

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Solution

The fourth proportional to 331.94, 457.92 and 205.85 is: 283.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.94 : 457.92 = 205.85 : x
  2. Step 2: Convert to fraction form
    331.94/457.92 = 205.85/x
  3. Step 3: Cross multiply
    331.94x = 457.92 × 205.85
  4. Step 4: Simplify right side
    331.94x = 94,263.98
  5. Step 5: Solve for x
    x = 94,263.98/331.94
  6. Step 6: Final answer
    x = 283.98

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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.