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Finding the Fourth Proportional to 306.29, 422.71 and 175.32

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Solution

The fourth proportional to 306.29, 422.71 and 175.32 is: 241.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.29 : 422.71 = 175.32 : x
  2. Step 2: Convert to fraction form
    306.29/422.71 = 175.32/x
  3. Step 3: Cross multiply
    306.29x = 422.71 × 175.32
  4. Step 4: Simplify right side
    306.29x = 74,109.08
  5. Step 5: Solve for x
    x = 74,109.08/306.29
  6. Step 6: Final answer
    x = 241.96

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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.