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Finding the Fourth Proportional to 330.49, 455.90 and 206.11

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Solution

The fourth proportional to 330.49, 455.90 and 206.11 is: 284.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.49 : 455.90 = 206.11 : x
  2. Step 2: Convert to fraction form
    330.49/455.90 = 206.11/x
  3. Step 3: Cross multiply
    330.49x = 455.90 × 206.11
  4. Step 4: Simplify right side
    330.49x = 93,965.55
  5. Step 5: Solve for x
    x = 93,965.55/330.49
  6. Step 6: Final answer
    x = 284.32

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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.