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Finding the Fourth Proportional to 235.58, 323.29 and 234.50

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Solution

The fourth proportional to 235.58, 323.29 and 234.50 is: 321.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.58 : 323.29 = 234.50 : x
  2. Step 2: Convert to fraction form
    235.58/323.29 = 234.50/x
  3. Step 3: Cross multiply
    235.58x = 323.29 × 234.50
  4. Step 4: Simplify right side
    235.58x = 75,811.51
  5. Step 5: Solve for x
    x = 75,811.51/235.58
  6. Step 6: Final answer
    x = 321.81

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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.