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Finding the Fourth Proportional to 305.71, 421.73 and 200.75

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Solution

The fourth proportional to 305.71, 421.73 and 200.75 is: 276.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.71 : 421.73 = 200.75 : x
  2. Step 2: Convert to fraction form
    305.71/421.73 = 200.75/x
  3. Step 3: Cross multiply
    305.71x = 421.73 × 200.75
  4. Step 4: Simplify right side
    305.71x = 84,662.30
  5. Step 5: Solve for x
    x = 84,662.30/305.71
  6. Step 6: Final answer
    x = 276.94

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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.