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Finding the Fourth Proportional to 236.23, 353.88 and 133.20

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Solution

The fourth proportional to 236.23, 353.88 and 133.20 is: 199.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.23 : 353.88 = 133.20 : x
  2. Step 2: Convert to fraction form
    236.23/353.88 = 133.20/x
  3. Step 3: Cross multiply
    236.23x = 353.88 × 133.20
  4. Step 4: Simplify right side
    236.23x = 47,135.99
  5. Step 5: Solve for x
    x = 47,135.99/236.23
  6. Step 6: Final answer
    x = 199.54

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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.