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Finding the Fourth Proportional to 305.29, 421.38 and 200.21

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Solution

The fourth proportional to 305.29, 421.38 and 200.21 is: 276.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.29 : 421.38 = 200.21 : x
  2. Step 2: Convert to fraction form
    305.29/421.38 = 200.21/x
  3. Step 3: Cross multiply
    305.29x = 421.38 × 200.21
  4. Step 4: Simplify right side
    305.29x = 84,362.38
  5. Step 5: Solve for x
    x = 84,362.38/305.29
  6. Step 6: Final answer
    x = 276.34

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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.