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Finding the Fourth Proportional to 237.16, 326.98 and 204.34

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Solution

The fourth proportional to 237.16, 326.98 and 204.34 is: 281.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.16 : 326.98 = 204.34 : x
  2. Step 2: Convert to fraction form
    237.16/326.98 = 204.34/x
  3. Step 3: Cross multiply
    237.16x = 326.98 × 204.34
  4. Step 4: Simplify right side
    237.16x = 66,815.09
  5. Step 5: Solve for x
    x = 66,815.09/237.16
  6. Step 6: Final answer
    x = 281.73

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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.