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Finding the Fourth Proportional to 306.02, 422.16 and 232.49

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Solution

The fourth proportional to 306.02, 422.16 and 232.49 is: 320.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.02 : 422.16 = 232.49 : x
  2. Step 2: Convert to fraction form
    306.02/422.16 = 232.49/x
  3. Step 3: Cross multiply
    306.02x = 422.16 × 232.49
  4. Step 4: Simplify right side
    306.02x = 98,147.98
  5. Step 5: Solve for x
    x = 98,147.98/306.02
  6. Step 6: Final answer
    x = 320.72

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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.