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Finding the Fourth Proportional to 235.42, 324.82 and 204.28

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Solution

The fourth proportional to 235.42, 324.82 and 204.28 is: 281.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.42 : 324.82 = 204.28 : x
  2. Step 2: Convert to fraction form
    235.42/324.82 = 204.28/x
  3. Step 3: Cross multiply
    235.42x = 324.82 × 204.28
  4. Step 4: Simplify right side
    235.42x = 66,354.23
  5. Step 5: Solve for x
    x = 66,354.23/235.42
  6. Step 6: Final answer
    x = 281.85

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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.