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Finding the Fourth Proportional to 330.45, 456.12 and 199.47

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Solution

The fourth proportional to 330.45, 456.12 and 199.47 is: 275.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.45 : 456.12 = 199.47 : x
  2. Step 2: Convert to fraction form
    330.45/456.12 = 199.47/x
  3. Step 3: Cross multiply
    330.45x = 456.12 × 199.47
  4. Step 4: Simplify right side
    330.45x = 90,982.26
  5. Step 5: Solve for x
    x = 90,982.26/330.45
  6. Step 6: Final answer
    x = 275.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.