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Finding the Fourth Proportional to 236.53, 326.13 and 204.95

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Solution

The fourth proportional to 236.53, 326.13 and 204.95 is: 282.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.53 : 326.13 = 204.95 : x
  2. Step 2: Convert to fraction form
    236.53/326.13 = 204.95/x
  3. Step 3: Cross multiply
    236.53x = 326.13 × 204.95
  4. Step 4: Simplify right side
    236.53x = 66,840.34
  5. Step 5: Solve for x
    x = 66,840.34/236.53
  6. Step 6: Final answer
    x = 282.59

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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.