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Finding the Fourth Proportional to 339.47, 468.51 and 192.09

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Solution

The fourth proportional to 339.47, 468.51 and 192.09 is: 265.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.47 : 468.51 = 192.09 : x
  2. Step 2: Convert to fraction form
    339.47/468.51 = 192.09/x
  3. Step 3: Cross multiply
    339.47x = 468.51 × 192.09
  4. Step 4: Simplify right side
    339.47x = 89,997.12
  5. Step 5: Solve for x
    x = 89,997.12/339.47
  6. Step 6: Final answer
    x = 265.11

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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.