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Finding the Fourth Proportional to 305.16, 420.96 and 200.42

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Solution

The fourth proportional to 305.16, 420.96 and 200.42 is: 276.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.16 : 420.96 = 200.42 : x
  2. Step 2: Convert to fraction form
    305.16/420.96 = 200.42/x
  3. Step 3: Cross multiply
    305.16x = 420.96 × 200.42
  4. Step 4: Simplify right side
    305.16x = 84,366.70
  5. Step 5: Solve for x
    x = 84,366.70/305.16
  6. Step 6: Final answer
    x = 276.47

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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.