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Finding the Fourth Proportional to 235.19, 352.32 and 132.15

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Solution

The fourth proportional to 235.19, 352.32 and 132.15 is: 197.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.19 : 352.32 = 132.15 : x
  2. Step 2: Convert to fraction form
    235.19/352.32 = 132.15/x
  3. Step 3: Cross multiply
    235.19x = 352.32 × 132.15
  4. Step 4: Simplify right side
    235.19x = 46,559.09
  5. Step 5: Solve for x
    x = 46,559.09/235.19
  6. Step 6: Final answer
    x = 197.97

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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.