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Finding the Fourth Proportional to 293.10, 404.33 and 199.85

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Solution

The fourth proportional to 293.10, 404.33 and 199.85 is: 275.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.10 : 404.33 = 199.85 : x
  2. Step 2: Convert to fraction form
    293.10/404.33 = 199.85/x
  3. Step 3: Cross multiply
    293.10x = 404.33 × 199.85
  4. Step 4: Simplify right side
    293.10x = 80,802.33
  5. Step 5: Solve for x
    x = 80,802.33/293.10
  6. Step 6: Final answer
    x = 275.68

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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.