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Finding the Fourth Proportional to 310.22, 428.07 and 179.23

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Solution

The fourth proportional to 310.22, 428.07 and 179.23 is: 247.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.22 : 428.07 = 179.23 : x
  2. Step 2: Convert to fraction form
    310.22/428.07 = 179.23/x
  3. Step 3: Cross multiply
    310.22x = 428.07 × 179.23
  4. Step 4: Simplify right side
    310.22x = 76,722.99
  5. Step 5: Solve for x
    x = 76,722.99/310.22
  6. Step 6: Final answer
    x = 247.32

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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.