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Finding the Fourth Proportional to 305.26, 421.38 and 194.83

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Solution

The fourth proportional to 305.26, 421.38 and 194.83 is: 268.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.26 : 421.38 = 194.83 : x
  2. Step 2: Convert to fraction form
    305.26/421.38 = 194.83/x
  3. Step 3: Cross multiply
    305.26x = 421.38 × 194.83
  4. Step 4: Simplify right side
    305.26x = 82,097.47
  5. Step 5: Solve for x
    x = 82,097.47/305.26
  6. Step 6: Final answer
    x = 268.94

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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.