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Finding the Fourth Proportional to 233.73, 321.88 and 204.21

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Solution

The fourth proportional to 233.73, 321.88 and 204.21 is: 281.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.73 : 321.88 = 204.21 : x
  2. Step 2: Convert to fraction form
    233.73/321.88 = 204.21/x
  3. Step 3: Cross multiply
    233.73x = 321.88 × 204.21
  4. Step 4: Simplify right side
    233.73x = 65,731.11
  5. Step 5: Solve for x
    x = 65,731.11/233.73
  6. Step 6: Final answer
    x = 281.23

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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.