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Finding the Fourth Proportional to 270.04, 371.92 and 233.20

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Solution

The fourth proportional to 270.04, 371.92 and 233.20 is: 321.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.04 : 371.92 = 233.20 : x
  2. Step 2: Convert to fraction form
    270.04/371.92 = 233.20/x
  3. Step 3: Cross multiply
    270.04x = 371.92 × 233.20
  4. Step 4: Simplify right side
    270.04x = 86,731.74
  5. Step 5: Solve for x
    x = 86,731.74/270.04
  6. Step 6: Final answer
    x = 321.18

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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.