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Finding the Fourth Proportional to 236.09, 352.24 and 205.72

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Solution

The fourth proportional to 236.09, 352.24 and 205.72 is: 306.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.09 : 352.24 = 205.72 : x
  2. Step 2: Convert to fraction form
    236.09/352.24 = 205.72/x
  3. Step 3: Cross multiply
    236.09x = 352.24 × 205.72
  4. Step 4: Simplify right side
    236.09x = 72,461.42
  5. Step 5: Solve for x
    x = 72,461.42/236.09
  6. Step 6: Final answer
    x = 306.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.