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Finding the Fourth Proportional to 235.10, 352.20 and 132.07

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Solution

The fourth proportional to 235.10, 352.20 and 132.07 is: 197.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.10 : 352.20 = 132.07 : x
  2. Step 2: Convert to fraction form
    235.10/352.20 = 132.07/x
  3. Step 3: Cross multiply
    235.10x = 352.20 × 132.07
  4. Step 4: Simplify right side
    235.10x = 46,515.58
  5. Step 5: Solve for x
    x = 46,515.58/235.10
  6. Step 6: Final answer
    x = 197.85

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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.