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Finding the Fourth Proportional to 339.34, 468.24 and 199.50

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Solution

The fourth proportional to 339.34, 468.24 and 199.50 is: 275.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.34 : 468.24 = 199.50 : x
  2. Step 2: Convert to fraction form
    339.34/468.24 = 199.50/x
  3. Step 3: Cross multiply
    339.34x = 468.24 × 199.50
  4. Step 4: Simplify right side
    339.34x = 93,413.88
  5. Step 5: Solve for x
    x = 93,413.88/339.34
  6. Step 6: Final answer
    x = 275.28

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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.