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Finding the Fourth Proportional to 310.88, 466.17 and 164.30

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Solution

The fourth proportional to 310.88, 466.17 and 164.30 is: 246.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.88 : 466.17 = 164.30 : x
  2. Step 2: Convert to fraction form
    310.88/466.17 = 164.30/x
  3. Step 3: Cross multiply
    310.88x = 466.17 × 164.30
  4. Step 4: Simplify right side
    310.88x = 76,589.40
  5. Step 5: Solve for x
    x = 76,589.40/310.88
  6. Step 6: Final answer
    x = 246.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.