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Finding the Fourth Proportional to 235.20, 323.52 and 195.84

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Solution

The fourth proportional to 235.20, 323.52 and 195.84 is: 269.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.20 : 323.52 = 195.84 : x
  2. Step 2: Convert to fraction form
    235.20/323.52 = 195.84/x
  3. Step 3: Cross multiply
    235.20x = 323.52 × 195.84
  4. Step 4: Simplify right side
    235.20x = 63,358.16
  5. Step 5: Solve for x
    x = 63,358.16/235.20
  6. Step 6: Final answer
    x = 269.38

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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.