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Finding the Fourth Proportional to 235.34, 353.02 and 132.56

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Solution

The fourth proportional to 235.34, 353.02 and 132.56 is: 198.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.34 : 353.02 = 132.56 : x
  2. Step 2: Convert to fraction form
    235.34/353.02 = 132.56/x
  3. Step 3: Cross multiply
    235.34x = 353.02 × 132.56
  4. Step 4: Simplify right side
    235.34x = 46,796.33
  5. Step 5: Solve for x
    x = 46,796.33/235.34
  6. Step 6: Final answer
    x = 198.85

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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.