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Finding the Fourth Proportional to 305.21, 421.03 and 200.32

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Solution

The fourth proportional to 305.21, 421.03 and 200.32 is: 276.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.21 : 421.03 = 200.32 : x
  2. Step 2: Convert to fraction form
    305.21/421.03 = 200.32/x
  3. Step 3: Cross multiply
    305.21x = 421.03 × 200.32
  4. Step 4: Simplify right side
    305.21x = 84,340.73
  5. Step 5: Solve for x
    x = 84,340.73/305.21
  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.