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Finding the Fourth Proportional to 339.99, 469.12 and 200.12

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Solution

The fourth proportional to 339.99, 469.12 and 200.12 is: 276.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.99 : 469.12 = 200.12 : x
  2. Step 2: Convert to fraction form
    339.99/469.12 = 200.12/x
  3. Step 3: Cross multiply
    339.99x = 469.12 × 200.12
  4. Step 4: Simplify right side
    339.99x = 93,879.29
  5. Step 5: Solve for x
    x = 93,879.29/339.99
  6. Step 6: Final answer
    x = 276.12

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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.