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Finding the Fourth Proportional to 339.29, 468.11 and 191.90

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Solution

The fourth proportional to 339.29, 468.11 and 191.90 is: 264.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.29 : 468.11 = 191.90 : x
  2. Step 2: Convert to fraction form
    339.29/468.11 = 191.90/x
  3. Step 3: Cross multiply
    339.29x = 468.11 × 191.90
  4. Step 4: Simplify right side
    339.29x = 89,831.96
  5. Step 5: Solve for x
    x = 89,831.96/339.29
  6. Step 6: Final answer
    x = 264.77

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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.