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Finding the Fourth Proportional to 163.16, 224.98 and 132.12

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Solution

The fourth proportional to 163.16, 224.98 and 132.12 is: 182.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.16 : 224.98 = 132.12 : x
  2. Step 2: Convert to fraction form
    163.16/224.98 = 132.12/x
  3. Step 3: Cross multiply
    163.16x = 224.98 × 132.12
  4. Step 4: Simplify right side
    163.16x = 29,724.36
  5. Step 5: Solve for x
    x = 29,724.36/163.16
  6. Step 6: Final answer
    x = 182.18

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Why These Related Problems?

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