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Finding the Fourth Proportional to 339.24, 468.14 and 191.85

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Solution

The fourth proportional to 339.24, 468.14 and 191.85 is: 264.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.24 : 468.14 = 191.85 : x
  2. Step 2: Convert to fraction form
    339.24/468.14 = 191.85/x
  3. Step 3: Cross multiply
    339.24x = 468.14 × 191.85
  4. Step 4: Simplify right side
    339.24x = 89,811.70
  5. Step 5: Solve for x
    x = 89,811.70/339.24
  6. Step 6: Final answer
    x = 264.74

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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.