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Finding the Fourth Proportional to 310.34, 428.16 and 179.34

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Solution

The fourth proportional to 310.34, 428.16 and 179.34 is: 247.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.34 : 428.16 = 179.34 : x
  2. Step 2: Convert to fraction form
    310.34/428.16 = 179.34/x
  3. Step 3: Cross multiply
    310.34x = 428.16 × 179.34
  4. Step 4: Simplify right side
    310.34x = 76,786.21
  5. Step 5: Solve for x
    x = 76,786.21/310.34
  6. Step 6: Final answer
    x = 247.43

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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.