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Finding the Fourth Proportional to 163.79, 247.54 and 160.96

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Solution

The fourth proportional to 163.79, 247.54 and 160.96 is: 243.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.79 : 247.54 = 160.96 : x
  2. Step 2: Convert to fraction form
    163.79/247.54 = 160.96/x
  3. Step 3: Cross multiply
    163.79x = 247.54 × 160.96
  4. Step 4: Simplify right side
    163.79x = 39,842.80
  5. Step 5: Solve for x
    x = 39,842.80/163.79
  6. Step 6: Final answer
    x = 243.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.