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Finding the Fourth Proportional to 163.48, 243.50 and 159.97

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Solution

The fourth proportional to 163.48, 243.50 and 159.97 is: 238.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.48 : 243.50 = 159.97 : x
  2. Step 2: Convert to fraction form
    163.48/243.50 = 159.97/x
  3. Step 3: Cross multiply
    163.48x = 243.50 × 159.97
  4. Step 4: Simplify right side
    163.48x = 38,952.70
  5. Step 5: Solve for x
    x = 38,952.70/163.48
  6. Step 6: Final answer
    x = 238.27

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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.