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Finding the Fourth Proportional to 306.04, 422.05 and 201.09

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Solution

The fourth proportional to 306.04, 422.05 and 201.09 is: 277.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.04 : 422.05 = 201.09 : x
  2. Step 2: Convert to fraction form
    306.04/422.05 = 201.09/x
  3. Step 3: Cross multiply
    306.04x = 422.05 × 201.09
  4. Step 4: Simplify right side
    306.04x = 84,870.03
  5. Step 5: Solve for x
    x = 84,870.03/306.04
  6. Step 6: Final answer
    x = 277.32

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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.