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Finding the Fourth Proportional to 235.57, 353.04 and 132.82

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Solution

The fourth proportional to 235.57, 353.04 and 132.82 is: 199.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.57 : 353.04 = 132.82 : x
  2. Step 2: Convert to fraction form
    235.57/353.04 = 132.82/x
  3. Step 3: Cross multiply
    235.57x = 353.04 × 132.82
  4. Step 4: Simplify right side
    235.57x = 46,889.01
  5. Step 5: Solve for x
    x = 46,889.01/235.57
  6. Step 6: Final answer
    x = 199.04

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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.