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Finding the Fourth Proportional to 323.94, 486.26 and 202.31

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Solution

The fourth proportional to 323.94, 486.26 and 202.31 is: 303.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.94 : 486.26 = 202.31 : x
  2. Step 2: Convert to fraction form
    323.94/486.26 = 202.31/x
  3. Step 3: Cross multiply
    323.94x = 486.26 × 202.31
  4. Step 4: Simplify right side
    323.94x = 98,371.82
  5. Step 5: Solve for x
    x = 98,371.82/323.94
  6. Step 6: Final answer
    x = 303.67

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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.