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Finding the Fourth Proportional to 309.94, 427.60 and 191.86

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Solution

The fourth proportional to 309.94, 427.60 and 191.86 is: 264.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.94 : 427.60 = 191.86 : x
  2. Step 2: Convert to fraction form
    309.94/427.60 = 191.86/x
  3. Step 3: Cross multiply
    309.94x = 427.60 × 191.86
  4. Step 4: Simplify right side
    309.94x = 82,039.34
  5. Step 5: Solve for x
    x = 82,039.34/309.94
  6. Step 6: Final answer
    x = 264.69

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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.