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Finding the Fourth Proportional to 167.05, 248.95 and 163.81

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Solution

The fourth proportional to 167.05, 248.95 and 163.81 is: 244.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.05 : 248.95 = 163.81 : x
  2. Step 2: Convert to fraction form
    167.05/248.95 = 163.81/x
  3. Step 3: Cross multiply
    167.05x = 248.95 × 163.81
  4. Step 4: Simplify right side
    167.05x = 40,780.50
  5. Step 5: Solve for x
    x = 40,780.50/167.05
  6. Step 6: Final answer
    x = 244.12

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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.