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Finding the Fourth Proportional to 235.27, 324.41 and 203.70

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Solution

The fourth proportional to 235.27, 324.41 and 203.70 is: 280.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.27 : 324.41 = 203.70 : x
  2. Step 2: Convert to fraction form
    235.27/324.41 = 203.70/x
  3. Step 3: Cross multiply
    235.27x = 324.41 × 203.70
  4. Step 4: Simplify right side
    235.27x = 66,082.06
  5. Step 5: Solve for x
    x = 66,082.06/235.27
  6. Step 6: Final answer
    x = 280.87

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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.