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Finding the Fourth Proportional to 306.02, 422.29 and 168.02

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Solution

The fourth proportional to 306.02, 422.29 and 168.02 is: 231.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.02 : 422.29 = 168.02 : x
  2. Step 2: Convert to fraction form
    306.02/422.29 = 168.02/x
  3. Step 3: Cross multiply
    306.02x = 422.29 × 168.02
  4. Step 4: Simplify right side
    306.02x = 70,953.17
  5. Step 5: Solve for x
    x = 70,953.17/306.02
  6. Step 6: Final answer
    x = 231.86

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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.