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Finding the Fourth Proportional to 294.83, 406.62 and 206.27

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Solution

The fourth proportional to 294.83, 406.62 and 206.27 is: 284.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.83 : 406.62 = 206.27 : x
  2. Step 2: Convert to fraction form
    294.83/406.62 = 206.27/x
  3. Step 3: Cross multiply
    294.83x = 406.62 × 206.27
  4. Step 4: Simplify right side
    294.83x = 83,874.52
  5. Step 5: Solve for x
    x = 83,874.52/294.83
  6. Step 6: Final answer
    x = 284.49

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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.