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Finding the Fourth Proportional to 163.56, 243.50 and 161.28

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Solution

The fourth proportional to 163.56, 243.50 and 161.28 is: 240.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.56 : 243.50 = 161.28 : x
  2. Step 2: Convert to fraction form
    163.56/243.50 = 161.28/x
  3. Step 3: Cross multiply
    163.56x = 243.50 × 161.28
  4. Step 4: Simplify right side
    163.56x = 39,271.68
  5. Step 5: Solve for x
    x = 39,271.68/163.56
  6. Step 6: Final answer
    x = 240.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.