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Finding the Fourth Proportional to 330.96, 496.08 and 222.96

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Solution

The fourth proportional to 330.96, 496.08 and 222.96 is: 334.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.96 : 496.08 = 222.96 : x
  2. Step 2: Convert to fraction form
    330.96/496.08 = 222.96/x
  3. Step 3: Cross multiply
    330.96x = 496.08 × 222.96
  4. Step 4: Simplify right side
    330.96x = 110,606.00
  5. Step 5: Solve for x
    x = 110,606.00/330.96
  6. Step 6: Final answer
    x = 334.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.