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Finding the Fourth Proportional to 236.20, 354.20 and 73.84

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Solution

The fourth proportional to 236.20, 354.20 and 73.84 is: 110.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.20 : 354.20 = 73.84 : x
  2. Step 2: Convert to fraction form
    236.20/354.20 = 73.84/x
  3. Step 3: Cross multiply
    236.20x = 354.20 × 73.84
  4. Step 4: Simplify right side
    236.20x = 26,154.13
  5. Step 5: Solve for x
    x = 26,154.13/236.20
  6. Step 6: Final answer
    x = 110.73

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