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Finding the Fourth Proportional to 227.40, 340.20 and 205.80

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Solution

The fourth proportional to 227.40, 340.20 and 205.80 is: 307.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.40 : 340.20 = 205.80 : x
  2. Step 2: Convert to fraction form
    227.40/340.20 = 205.80/x
  3. Step 3: Cross multiply
    227.40x = 340.20 × 205.80
  4. Step 4: Simplify right side
    227.40x = 70,013.16
  5. Step 5: Solve for x
    x = 70,013.16/227.40
  6. Step 6: Final answer
    x = 307.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.