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Finding the Fourth Proportional to 294.92, 406.92 and 206.29

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Solution

The fourth proportional to 294.92, 406.92 and 206.29 is: 284.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.92 : 406.92 = 206.29 : x
  2. Step 2: Convert to fraction form
    294.92/406.92 = 206.29/x
  3. Step 3: Cross multiply
    294.92x = 406.92 × 206.29
  4. Step 4: Simplify right side
    294.92x = 83,943.53
  5. Step 5: Solve for x
    x = 83,943.53/294.92
  6. Step 6: Final answer
    x = 284.63

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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.