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Finding the Fourth Proportional to 294.39, 406.42 and 205.94

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Solution

The fourth proportional to 294.39, 406.42 and 205.94 is: 284.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.39 : 406.42 = 205.94 : x
  2. Step 2: Convert to fraction form
    294.39/406.42 = 205.94/x
  3. Step 3: Cross multiply
    294.39x = 406.42 × 205.94
  4. Step 4: Simplify right side
    294.39x = 83,698.64
  5. Step 5: Solve for x
    x = 83,698.64/294.39
  6. Step 6: Final answer
    x = 284.31

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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.