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Finding the Fourth Proportional to 306.30, 422.80 and 236.36

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Solution

The fourth proportional to 306.30, 422.80 and 236.36 is: 326.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.30 : 422.80 = 236.36 : x
  2. Step 2: Convert to fraction form
    306.30/422.80 = 236.36/x
  3. Step 3: Cross multiply
    306.30x = 422.80 × 236.36
  4. Step 4: Simplify right side
    306.30x = 99,933.01
  5. Step 5: Solve for x
    x = 99,933.01/306.30
  6. Step 6: Final answer
    x = 326.26

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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.