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Finding the Fourth Proportional to 163.46, 224.36 and 163.46

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Solution

The fourth proportional to 163.46, 224.36 and 163.46 is: 224.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.46 : 224.36 = 163.46 : x
  2. Step 2: Convert to fraction form
    163.46/224.36 = 163.46/x
  3. Step 3: Cross multiply
    163.46x = 224.36 × 163.46
  4. Step 4: Simplify right side
    163.46x = 36,673.89
  5. Step 5: Solve for x
    x = 36,673.89/163.46
  6. Step 6: Final answer
    x = 224.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.