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Finding the Fourth Proportional to 293.43, 405.02 and 206.36

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Solution

The fourth proportional to 293.43, 405.02 and 206.36 is: 284.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.43 : 405.02 = 206.36 : x
  2. Step 2: Convert to fraction form
    293.43/405.02 = 206.36/x
  3. Step 3: Cross multiply
    293.43x = 405.02 × 206.36
  4. Step 4: Simplify right side
    293.43x = 83,578.42
  5. Step 5: Solve for x
    x = 83,578.42/293.43
  6. Step 6: Final answer
    x = 284.83

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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.