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Finding the Fourth Proportional to 306.24, 422.61 and 166.36

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Solution

The fourth proportional to 306.24, 422.61 and 166.36 is: 229.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.24 : 422.61 = 166.36 : x
  2. Step 2: Convert to fraction form
    306.24/422.61 = 166.36/x
  3. Step 3: Cross multiply
    306.24x = 422.61 × 166.36
  4. Step 4: Simplify right side
    306.24x = 70,302.45
  5. Step 5: Solve for x
    x = 70,302.45/306.24
  6. Step 6: Final answer
    x = 229.57

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