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Finding the Fourth Proportional to 310.41, 428.34 and 179.46

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Solution

The fourth proportional to 310.41, 428.34 and 179.46 is: 247.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.41 : 428.34 = 179.46 : x
  2. Step 2: Convert to fraction form
    310.41/428.34 = 179.46/x
  3. Step 3: Cross multiply
    310.41x = 428.34 × 179.46
  4. Step 4: Simplify right side
    310.41x = 76,869.90
  5. Step 5: Solve for x
    x = 76,869.90/310.41
  6. Step 6: Final answer
    x = 247.64

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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.