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Finding the Fourth Proportional to 235.82, 353.86 and 133.14

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Solution

The fourth proportional to 235.82, 353.86 and 133.14 is: 199.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.82 : 353.86 = 133.14 : x
  2. Step 2: Convert to fraction form
    235.82/353.86 = 133.14/x
  3. Step 3: Cross multiply
    235.82x = 353.86 × 133.14
  4. Step 4: Simplify right side
    235.82x = 47,112.92
  5. Step 5: Solve for x
    x = 47,112.92/235.82
  6. Step 6: Final answer
    x = 199.78

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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.