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Finding the Fourth Proportional to 339.22, 468.06 and 191.82

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Solution

The fourth proportional to 339.22, 468.06 and 191.82 is: 264.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.22 : 468.06 = 191.82 : x
  2. Step 2: Convert to fraction form
    339.22/468.06 = 191.82/x
  3. Step 3: Cross multiply
    339.22x = 468.06 × 191.82
  4. Step 4: Simplify right side
    339.22x = 89,780.93
  5. Step 5: Solve for x
    x = 89,780.93/339.22
  6. Step 6: Final answer
    x = 264.67

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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.