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Finding the Fourth Proportional to 306, 422.04 and 195.45

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Solution

The fourth proportional to 306, 422.04 and 195.45 is: 269.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    306 : 422.04 = 195.45 : x
  2. Step 2: Convert to fraction form
    306/422.04 = 195.45/x
  3. Step 3: Cross multiply
    306x = 422.04 × 195.45
  4. Step 4: Simplify right side
    306x = 82,487.72
  5. Step 5: Solve for x
    x = 82,487.72/306
  6. Step 6: Final answer
    x = 269.57

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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.