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Finding the Fourth Proportional to 306.40, 422.82 and 186.82

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Solution

The fourth proportional to 306.40, 422.82 and 186.82 is: 257.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.40 : 422.82 = 186.82 : x
  2. Step 2: Convert to fraction form
    306.40/422.82 = 186.82/x
  3. Step 3: Cross multiply
    306.40x = 422.82 × 186.82
  4. Step 4: Simplify right side
    306.40x = 78,991.23
  5. Step 5: Solve for x
    x = 78,991.23/306.40
  6. Step 6: Final answer
    x = 257.80

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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.