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Finding the Fourth Proportional to 305.99, 422.27 and 166.11

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Solution

The fourth proportional to 305.99, 422.27 and 166.11 is: 229.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.99 : 422.27 = 166.11 : x
  2. Step 2: Convert to fraction form
    305.99/422.27 = 166.11/x
  3. Step 3: Cross multiply
    305.99x = 422.27 × 166.11
  4. Step 4: Simplify right side
    305.99x = 70,143.27
  5. Step 5: Solve for x
    x = 70,143.27/305.99
  6. Step 6: Final answer
    x = 229.23

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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.