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Finding the Fourth Proportional to 236.87, 355.40 and 106.78

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Solution

The fourth proportional to 236.87, 355.40 and 106.78 is: 160.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.87 : 355.40 = 106.78 : x
  2. Step 2: Convert to fraction form
    236.87/355.40 = 106.78/x
  3. Step 3: Cross multiply
    236.87x = 355.40 × 106.78
  4. Step 4: Simplify right side
    236.87x = 37,949.61
  5. Step 5: Solve for x
    x = 37,949.61/236.87
  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.