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Finding the Fourth Proportional to 330.64, 456.21 and 190.76

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Solution

The fourth proportional to 330.64, 456.21 and 190.76 is: 263.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.64 : 456.21 = 190.76 : x
  2. Step 2: Convert to fraction form
    330.64/456.21 = 190.76/x
  3. Step 3: Cross multiply
    330.64x = 456.21 × 190.76
  4. Step 4: Simplify right side
    330.64x = 87,026.62
  5. Step 5: Solve for x
    x = 87,026.62/330.64
  6. Step 6: Final answer
    x = 263.21

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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.