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Finding the Fourth Proportional to 339.38, 468.34 and 192.02

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Solution

The fourth proportional to 339.38, 468.34 and 192.02 is: 264.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.38 : 468.34 = 192.02 : x
  2. Step 2: Convert to fraction form
    339.38/468.34 = 192.02/x
  3. Step 3: Cross multiply
    339.38x = 468.34 × 192.02
  4. Step 4: Simplify right side
    339.38x = 89,930.65
  5. Step 5: Solve for x
    x = 89,930.65/339.38
  6. Step 6: Final answer
    x = 264.99

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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.