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Finding the Fourth Proportional to 236.90, 355.28 and 106.83

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Solution

The fourth proportional to 236.90, 355.28 and 106.83 is: 160.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.90 : 355.28 = 106.83 : x
  2. Step 2: Convert to fraction form
    236.90/355.28 = 106.83/x
  3. Step 3: Cross multiply
    236.90x = 355.28 × 106.83
  4. Step 4: Simplify right side
    236.90x = 37,954.56
  5. Step 5: Solve for x
    x = 37,954.56/236.90
  6. Step 6: Final answer
    x = 160.21

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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.