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Finding the Fourth Proportional to 167.08, 248.81 and 162.83

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Solution

The fourth proportional to 167.08, 248.81 and 162.83 is: 242.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.08 : 248.81 = 162.83 : x
  2. Step 2: Convert to fraction form
    167.08/248.81 = 162.83/x
  3. Step 3: Cross multiply
    167.08x = 248.81 × 162.83
  4. Step 4: Simplify right side
    167.08x = 40,512.90
  5. Step 5: Solve for x
    x = 40,512.90/167.08
  6. Step 6: Final answer
    x = 242.48

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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.