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Finding the Fourth Proportional to 237.44, 329.07 and 233.12

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Solution

The fourth proportional to 237.44, 329.07 and 233.12 is: 323.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.44 : 329.07 = 233.12 : x
  2. Step 2: Convert to fraction form
    237.44/329.07 = 233.12/x
  3. Step 3: Cross multiply
    237.44x = 329.07 × 233.12
  4. Step 4: Simplify right side
    237.44x = 76,712.80
  5. Step 5: Solve for x
    x = 76,712.80/237.44
  6. Step 6: Final answer
    x = 323.08

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.