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Finding the Fourth Proportional to 235.67, 325.26 and 132.19

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Solution

The fourth proportional to 235.67, 325.26 and 132.19 is: 182.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.67 : 325.26 = 132.19 : x
  2. Step 2: Convert to fraction form
    235.67/325.26 = 132.19/x
  3. Step 3: Cross multiply
    235.67x = 325.26 × 132.19
  4. Step 4: Simplify right side
    235.67x = 42,995.46
  5. Step 5: Solve for x
    x = 42,995.46/235.67
  6. Step 6: Final answer
    x = 182.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.