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Finding the Fourth Proportional to 235.23, 352.64 and 163.14

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Solution

The fourth proportional to 235.23, 352.64 and 163.14 is: 244.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.23 : 352.64 = 163.14 : x
  2. Step 2: Convert to fraction form
    235.23/352.64 = 163.14/x
  3. Step 3: Cross multiply
    235.23x = 352.64 × 163.14
  4. Step 4: Simplify right side
    235.23x = 57,530.10
  5. Step 5: Solve for x
    x = 57,530.10/235.23
  6. Step 6: Final answer
    x = 244.57

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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.