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Finding the Fourth Proportional to 330.84, 456.36 and 199.62

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Solution

The fourth proportional to 330.84, 456.36 and 199.62 is: 275.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.84 : 456.36 = 199.62 : x
  2. Step 2: Convert to fraction form
    330.84/456.36 = 199.62/x
  3. Step 3: Cross multiply
    330.84x = 456.36 × 199.62
  4. Step 4: Simplify right side
    330.84x = 91,098.58
  5. Step 5: Solve for x
    x = 91,098.58/330.84
  6. Step 6: Final answer
    x = 275.36

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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.