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Finding the Fourth Proportional to 339.74, 468.67 and 199.86

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Solution

The fourth proportional to 339.74, 468.67 and 199.86 is: 275.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.74 : 468.67 = 199.86 : x
  2. Step 2: Convert to fraction form
    339.74/468.67 = 199.86/x
  3. Step 3: Cross multiply
    339.74x = 468.67 × 199.86
  4. Step 4: Simplify right side
    339.74x = 93,668.39
  5. Step 5: Solve for x
    x = 93,668.39/339.74
  6. Step 6: Final answer
    x = 275.71

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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.