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Finding the Fourth Proportional to 306.09, 422.43 and 175.14

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Solution

The fourth proportional to 306.09, 422.43 and 175.14 is: 241.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.09 : 422.43 = 175.14 : x
  2. Step 2: Convert to fraction form
    306.09/422.43 = 175.14/x
  3. Step 3: Cross multiply
    306.09x = 422.43 × 175.14
  4. Step 4: Simplify right side
    306.09x = 73,984.39
  5. Step 5: Solve for x
    x = 73,984.39/306.09
  6. Step 6: Final answer
    x = 241.71

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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.