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Finding the Fourth Proportional to 339.72, 468.86 and 192.32

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Solution

The fourth proportional to 339.72, 468.86 and 192.32 is: 265.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.72 : 468.86 = 192.32 : x
  2. Step 2: Convert to fraction form
    339.72/468.86 = 192.32/x
  3. Step 3: Cross multiply
    339.72x = 468.86 × 192.32
  4. Step 4: Simplify right side
    339.72x = 90,173.87
  5. Step 5: Solve for x
    x = 90,173.87/339.72
  6. Step 6: Final answer
    x = 265.44

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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.