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Finding the Fourth Proportional to 294.45, 406.10 and 205.90

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Solution

The fourth proportional to 294.45, 406.10 and 205.90 is: 283.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.45 : 406.10 = 205.90 : x
  2. Step 2: Convert to fraction form
    294.45/406.10 = 205.90/x
  3. Step 3: Cross multiply
    294.45x = 406.10 × 205.90
  4. Step 4: Simplify right side
    294.45x = 83,615.49
  5. Step 5: Solve for x
    x = 83,615.49/294.45
  6. Step 6: Final answer
    x = 283.97

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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.