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Finding the Fourth Proportional to 339.29, 468.25 and 191.95

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Solution

The fourth proportional to 339.29, 468.25 and 191.95 is: 264.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.29 : 468.25 = 191.95 : x
  2. Step 2: Convert to fraction form
    339.29/468.25 = 191.95/x
  3. Step 3: Cross multiply
    339.29x = 468.25 × 191.95
  4. Step 4: Simplify right side
    339.29x = 89,880.59
  5. Step 5: Solve for x
    x = 89,880.59/339.29
  6. Step 6: Final answer
    x = 264.91

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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.