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Finding the Fourth Proportional to 339.92, 468.97 and 200.02

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Solution

The fourth proportional to 339.92, 468.97 and 200.02 is: 275.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.92 : 468.97 = 200.02 : x
  2. Step 2: Convert to fraction form
    339.92/468.97 = 200.02/x
  3. Step 3: Cross multiply
    339.92x = 468.97 × 200.02
  4. Step 4: Simplify right side
    339.92x = 93,803.38
  5. Step 5: Solve for x
    x = 93,803.38/339.92
  6. Step 6: Final answer
    x = 275.96

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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.