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Finding the Fourth Proportional to 330.84, 456.56 and 199.84

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Solution

The fourth proportional to 330.84, 456.56 and 199.84 is: 275.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.84 : 456.56 = 199.84 : x
  2. Step 2: Convert to fraction form
    330.84/456.56 = 199.84/x
  3. Step 3: Cross multiply
    330.84x = 456.56 × 199.84
  4. Step 4: Simplify right side
    330.84x = 91,238.95
  5. Step 5: Solve for x
    x = 91,238.95/330.84
  6. Step 6: Final answer
    x = 275.78

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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.