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Finding the Fourth Proportional to 339.43, 468.42 and 192.07

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Solution

The fourth proportional to 339.43, 468.42 and 192.07 is: 265.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.43 : 468.42 = 192.07 : x
  2. Step 2: Convert to fraction form
    339.43/468.42 = 192.07/x
  3. Step 3: Cross multiply
    339.43x = 468.42 × 192.07
  4. Step 4: Simplify right side
    339.43x = 89,969.43
  5. Step 5: Solve for x
    x = 89,969.43/339.43
  6. Step 6: Final answer
    x = 265.06

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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.