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Finding the Fourth Proportional to 330.97, 456.99 and 200.15

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Solution

The fourth proportional to 330.97, 456.99 and 200.15 is: 276.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.97 : 456.99 = 200.15 : x
  2. Step 2: Convert to fraction form
    330.97/456.99 = 200.15/x
  3. Step 3: Cross multiply
    330.97x = 456.99 × 200.15
  4. Step 4: Simplify right side
    330.97x = 91,466.55
  5. Step 5: Solve for x
    x = 91,466.55/330.97
  6. Step 6: Final answer
    x = 276.36

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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.