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Finding the Fourth Proportional to 235.86, 324.68 and 204.34

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Solution

The fourth proportional to 235.86, 324.68 and 204.34 is: 281.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.86 : 324.68 = 204.34 : x
  2. Step 2: Convert to fraction form
    235.86/324.68 = 204.34/x
  3. Step 3: Cross multiply
    235.86x = 324.68 × 204.34
  4. Step 4: Simplify right side
    235.86x = 66,345.11
  5. Step 5: Solve for x
    x = 66,345.11/235.86
  6. Step 6: Final answer
    x = 281.29

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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.