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Finding the Fourth Proportional to 339.50, 468.44 and 199.60

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Solution

The fourth proportional to 339.50, 468.44 and 199.60 is: 275.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.50 : 468.44 = 199.60 : x
  2. Step 2: Convert to fraction form
    339.50/468.44 = 199.60/x
  3. Step 3: Cross multiply
    339.50x = 468.44 × 199.60
  4. Step 4: Simplify right side
    339.50x = 93,498.45
  5. Step 5: Solve for x
    x = 93,498.45/339.50
  6. Step 6: Final answer
    x = 275.40

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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.