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Finding the Fourth Proportional to 312.45, 431.22 and 179.67

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Solution

The fourth proportional to 312.45, 431.22 and 179.67 is: 247.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.45 : 431.22 = 179.67 : x
  2. Step 2: Convert to fraction form
    312.45/431.22 = 179.67/x
  3. Step 3: Cross multiply
    312.45x = 431.22 × 179.67
  4. Step 4: Simplify right side
    312.45x = 77,477.30
  5. Step 5: Solve for x
    x = 77,477.30/312.45
  6. Step 6: Final answer
    x = 247.97

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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.