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Finding the Fourth Proportional to 312.47, 431.21 and 196.03

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Solution

The fourth proportional to 312.47, 431.21 and 196.03 is: 270.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.47 : 431.21 = 196.03 : x
  2. Step 2: Convert to fraction form
    312.47/431.21 = 196.03/x
  3. Step 3: Cross multiply
    312.47x = 431.21 × 196.03
  4. Step 4: Simplify right side
    312.47x = 84,531.13
  5. Step 5: Solve for x
    x = 84,531.13/312.47
  6. Step 6: Final answer
    x = 270.53

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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.