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Finding the Fourth Proportional to 305.39, 421.34 and 194.86

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Solution

The fourth proportional to 305.39, 421.34 and 194.86 is: 268.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.39 : 421.34 = 194.86 : x
  2. Step 2: Convert to fraction form
    305.39/421.34 = 194.86/x
  3. Step 3: Cross multiply
    305.39x = 421.34 × 194.86
  4. Step 4: Simplify right side
    305.39x = 82,100.28
  5. Step 5: Solve for x
    x = 82,100.28/305.39
  6. Step 6: Final answer
    x = 268.84

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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.