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Finding the Fourth Proportional to 235.64, 323.27 and 233.75

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Solution

The fourth proportional to 235.64, 323.27 and 233.75 is: 320.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.64 : 323.27 = 233.75 : x
  2. Step 2: Convert to fraction form
    235.64/323.27 = 233.75/x
  3. Step 3: Cross multiply
    235.64x = 323.27 × 233.75
  4. Step 4: Simplify right side
    235.64x = 75,564.88
  5. Step 5: Solve for x
    x = 75,564.88/235.64
  6. Step 6: Final answer
    x = 320.68

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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.