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Finding the Fourth Proportional to 236.80, 355.32 and 106.96

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Solution

The fourth proportional to 236.80, 355.32 and 106.96 is: 160.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.80 : 355.32 = 106.96 : x
  2. Step 2: Convert to fraction form
    236.80/355.32 = 106.96/x
  3. Step 3: Cross multiply
    236.80x = 355.32 × 106.96
  4. Step 4: Simplify right side
    236.80x = 38,005.03
  5. Step 5: Solve for x
    x = 38,005.03/236.80
  6. Step 6: Final answer
    x = 160.49

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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.