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Finding the Fourth Proportional to 330.30, 455.73 and 205.95

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Solution

The fourth proportional to 330.30, 455.73 and 205.95 is: 284.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.30 : 455.73 = 205.95 : x
  2. Step 2: Convert to fraction form
    330.30/455.73 = 205.95/x
  3. Step 3: Cross multiply
    330.30x = 455.73 × 205.95
  4. Step 4: Simplify right side
    330.30x = 93,857.59
  5. Step 5: Solve for x
    x = 93,857.59/330.30
  6. Step 6: Final answer
    x = 284.16

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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.