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Finding the Fourth Proportional to 339.80, 468.86 and 199.87

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Solution

The fourth proportional to 339.80, 468.86 and 199.87 is: 275.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.80 : 468.86 = 199.87 : x
  2. Step 2: Convert to fraction form
    339.80/468.86 = 199.87/x
  3. Step 3: Cross multiply
    339.80x = 468.86 × 199.87
  4. Step 4: Simplify right side
    339.80x = 93,709.30
  5. Step 5: Solve for x
    x = 93,709.30/339.80
  6. Step 6: Final answer
    x = 275.78

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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.