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Finding the Fourth Proportional to 312.24, 431.09 and 194.34

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Solution

The fourth proportional to 312.24, 431.09 and 194.34 is: 268.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.24 : 431.09 = 194.34 : x
  2. Step 2: Convert to fraction form
    312.24/431.09 = 194.34/x
  3. Step 3: Cross multiply
    312.24x = 431.09 × 194.34
  4. Step 4: Simplify right side
    312.24x = 83,778.52
  5. Step 5: Solve for x
    x = 83,778.52/312.24
  6. Step 6: Final answer
    x = 268.31

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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.