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Finding the Fourth Proportional to 330.27, 455.74 and 204.21

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Solution

The fourth proportional to 330.27, 455.74 and 204.21 is: 281.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.27 : 455.74 = 204.21 : x
  2. Step 2: Convert to fraction form
    330.27/455.74 = 204.21/x
  3. Step 3: Cross multiply
    330.27x = 455.74 × 204.21
  4. Step 4: Simplify right side
    330.27x = 93,063.37
  5. Step 5: Solve for x
    x = 93,063.37/330.27
  6. Step 6: Final answer
    x = 281.78

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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.