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Finding the Fourth Proportional to 330.82, 456.48 and 190.94

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Solution

The fourth proportional to 330.82, 456.48 and 190.94 is: 263.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.82 : 456.48 = 190.94 : x
  2. Step 2: Convert to fraction form
    330.82/456.48 = 190.94/x
  3. Step 3: Cross multiply
    330.82x = 456.48 × 190.94
  4. Step 4: Simplify right side
    330.82x = 87,160.29
  5. Step 5: Solve for x
    x = 87,160.29/330.82
  6. Step 6: Final answer
    x = 263.47

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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.