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Finding the Fourth Proportional to 221.73, 306 and 138.84

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Solution

The fourth proportional to 221.73, 306 and 138.84 is: 191.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.73 : 306 = 138.84 : x
  2. Step 2: Convert to fraction form
    221.73/306 = 138.84/x
  3. Step 3: Cross multiply
    221.73x = 306 × 138.84
  4. Step 4: Simplify right side
    221.73x = 42,485.04
  5. Step 5: Solve for x
    x = 42,485.04/221.73
  6. Step 6: Final answer
    x = 191.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.