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Finding the Fourth Proportional to 306.25, 422.64 and 175.26

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Solution

The fourth proportional to 306.25, 422.64 and 175.26 is: 241.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.25 : 422.64 = 175.26 : x
  2. Step 2: Convert to fraction form
    306.25/422.64 = 175.26/x
  3. Step 3: Cross multiply
    306.25x = 422.64 × 175.26
  4. Step 4: Simplify right side
    306.25x = 74,073.47
  5. Step 5: Solve for x
    x = 74,073.47/306.25
  6. Step 6: Final answer
    x = 241.87

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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.