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Finding the Fourth Proportional to 235.40, 324.60 and 233.06

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Solution

The fourth proportional to 235.40, 324.60 and 233.06 is: 321.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.40 : 324.60 = 233.06 : x
  2. Step 2: Convert to fraction form
    235.40/324.60 = 233.06/x
  3. Step 3: Cross multiply
    235.40x = 324.60 × 233.06
  4. Step 4: Simplify right side
    235.40x = 75,651.28
  5. Step 5: Solve for x
    x = 75,651.28/235.40
  6. Step 6: Final answer
    x = 321.37

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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.