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Finding the Fourth Proportional to 236.26, 354.39 and 193.42

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Solution

The fourth proportional to 236.26, 354.39 and 193.42 is: 290.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.26 : 354.39 = 193.42 : x
  2. Step 2: Convert to fraction form
    236.26/354.39 = 193.42/x
  3. Step 3: Cross multiply
    236.26x = 354.39 × 193.42
  4. Step 4: Simplify right side
    236.26x = 68,546.11
  5. Step 5: Solve for x
    x = 68,546.11/236.26
  6. Step 6: Final answer
    x = 290.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.