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Finding the Fourth Proportional to 163.07, 224.96 and 132.02

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Solution

The fourth proportional to 163.07, 224.96 and 132.02 is: 182.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.07 : 224.96 = 132.02 : x
  2. Step 2: Convert to fraction form
    163.07/224.96 = 132.02/x
  3. Step 3: Cross multiply
    163.07x = 224.96 × 132.02
  4. Step 4: Simplify right side
    163.07x = 29,699.12
  5. Step 5: Solve for x
    x = 29,699.12/163.07
  6. Step 6: Final answer
    x = 182.12

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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.