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Finding the Fourth Proportional to 163.82, 244.40 and 139.62

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Solution

The fourth proportional to 163.82, 244.40 and 139.62 is: 208.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.82 : 244.40 = 139.62 : x
  2. Step 2: Convert to fraction form
    163.82/244.40 = 139.62/x
  3. Step 3: Cross multiply
    163.82x = 244.40 × 139.62
  4. Step 4: Simplify right side
    163.82x = 34,123.13
  5. Step 5: Solve for x
    x = 34,123.13/163.82
  6. Step 6: Final answer
    x = 208.30

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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.