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Finding the Fourth Proportional to 306.21, 422.43 and 175.17

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Solution

The fourth proportional to 306.21, 422.43 and 175.17 is: 241.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.21 : 422.43 = 175.17 : x
  2. Step 2: Convert to fraction form
    306.21/422.43 = 175.17/x
  3. Step 3: Cross multiply
    306.21x = 422.43 × 175.17
  4. Step 4: Simplify right side
    306.21x = 73,997.06
  5. Step 5: Solve for x
    x = 73,997.06/306.21
  6. Step 6: Final answer
    x = 241.65

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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.