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Finding the Fourth Proportional to 293.06, 404.61 and 205.94

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Solution

The fourth proportional to 293.06, 404.61 and 205.94 is: 284.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.06 : 404.61 = 205.94 : x
  2. Step 2: Convert to fraction form
    293.06/404.61 = 205.94/x
  3. Step 3: Cross multiply
    293.06x = 404.61 × 205.94
  4. Step 4: Simplify right side
    293.06x = 83,325.38
  5. Step 5: Solve for x
    x = 83,325.38/293.06
  6. Step 6: Final answer
    x = 284.33

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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.