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Finding the Fourth Proportional to 163.34, 246.04 and 138.23

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Solution

The fourth proportional to 163.34, 246.04 and 138.23 is: 208.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.34 : 246.04 = 138.23 : x
  2. Step 2: Convert to fraction form
    163.34/246.04 = 138.23/x
  3. Step 3: Cross multiply
    163.34x = 246.04 × 138.23
  4. Step 4: Simplify right side
    163.34x = 34,009.42
  5. Step 5: Solve for x
    x = 34,009.42/163.34
  6. Step 6: Final answer
    x = 208.21

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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.