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Finding the Fourth Proportional to 236.56, 325.80 and 205.46

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Solution

The fourth proportional to 236.56, 325.80 and 205.46 is: 282.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.56 : 325.80 = 205.46 : x
  2. Step 2: Convert to fraction form
    236.56/325.80 = 205.46/x
  3. Step 3: Cross multiply
    236.56x = 325.80 × 205.46
  4. Step 4: Simplify right side
    236.56x = 66,938.87
  5. Step 5: Solve for x
    x = 66,938.87/236.56
  6. Step 6: Final answer
    x = 282.97

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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.