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Finding the Fourth Proportional to 306.04, 422.50 and 202.68

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Solution

The fourth proportional to 306.04, 422.50 and 202.68 is: 279.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.04 : 422.50 = 202.68 : x
  2. Step 2: Convert to fraction form
    306.04/422.50 = 202.68/x
  3. Step 3: Cross multiply
    306.04x = 422.50 × 202.68
  4. Step 4: Simplify right side
    306.04x = 85,632.30
  5. Step 5: Solve for x
    x = 85,632.30/306.04
  6. Step 6: Final answer
    x = 279.81

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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.