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Finding the Fourth Proportional to 339.60, 468.57 and 192.22

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Solution

The fourth proportional to 339.60, 468.57 and 192.22 is: 265.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.60 : 468.57 = 192.22 : x
  2. Step 2: Convert to fraction form
    339.60/468.57 = 192.22/x
  3. Step 3: Cross multiply
    339.60x = 468.57 × 192.22
  4. Step 4: Simplify right side
    339.60x = 90,067.35
  5. Step 5: Solve for x
    x = 90,067.35/339.60
  6. Step 6: Final answer
    x = 265.22

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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.