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Finding the Fourth Proportional to 422.13, 632.97 and 161.84

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Solution

The fourth proportional to 422.13, 632.97 and 161.84 is: 242.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.13 : 632.97 = 161.84 : x
  2. Step 2: Convert to fraction form
    422.13/632.97 = 161.84/x
  3. Step 3: Cross multiply
    422.13x = 632.97 × 161.84
  4. Step 4: Simplify right side
    422.13x = 102,440.12
  5. Step 5: Solve for x
    x = 102,440.12/422.13
  6. Step 6: Final answer
    x = 242.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.