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Finding the Fourth Proportional to 270.09, 371.79 and 233.03

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Solution

The fourth proportional to 270.09, 371.79 and 233.03 is: 320.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.09 : 371.79 = 233.03 : x
  2. Step 2: Convert to fraction form
    270.09/371.79 = 233.03/x
  3. Step 3: Cross multiply
    270.09x = 371.79 × 233.03
  4. Step 4: Simplify right side
    270.09x = 86,638.22
  5. Step 5: Solve for x
    x = 86,638.22/270.09
  6. Step 6: Final answer
    x = 320.78

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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.