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Finding the Fourth Proportional to 236.38, 326 and 153.40

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Solution

The fourth proportional to 236.38, 326 and 153.40 is: 211.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.38 : 326 = 153.40 : x
  2. Step 2: Convert to fraction form
    236.38/326 = 153.40/x
  3. Step 3: Cross multiply
    236.38x = 326 × 153.40
  4. Step 4: Simplify right side
    236.38x = 50,008.40
  5. Step 5: Solve for x
    x = 50,008.40/236.38
  6. Step 6: Final answer
    x = 211.56

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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.