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Finding the Fourth Proportional to 237.37, 324.67 and 233.59

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Solution

The fourth proportional to 237.37, 324.67 and 233.59 is: 319.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.37 : 324.67 = 233.59 : x
  2. Step 2: Convert to fraction form
    237.37/324.67 = 233.59/x
  3. Step 3: Cross multiply
    237.37x = 324.67 × 233.59
  4. Step 4: Simplify right side
    237.37x = 75,839.67
  5. Step 5: Solve for x
    x = 75,839.67/237.37
  6. Step 6: Final answer
    x = 319.50

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.