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Finding the Fourth Proportional to 305.46, 420.92 and 200.44

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Solution

The fourth proportional to 305.46, 420.92 and 200.44 is: 276.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.46 : 420.92 = 200.44 : x
  2. Step 2: Convert to fraction form
    305.46/420.92 = 200.44/x
  3. Step 3: Cross multiply
    305.46x = 420.92 × 200.44
  4. Step 4: Simplify right side
    305.46x = 84,369.20
  5. Step 5: Solve for x
    x = 84,369.20/305.46
  6. Step 6: Final answer
    x = 276.20

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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.