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Finding the Fourth Proportional to 330.64, 496.04 and 138.12

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Solution

The fourth proportional to 330.64, 496.04 and 138.12 is: 207.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.64 : 496.04 = 138.12 : x
  2. Step 2: Convert to fraction form
    330.64/496.04 = 138.12/x
  3. Step 3: Cross multiply
    330.64x = 496.04 × 138.12
  4. Step 4: Simplify right side
    330.64x = 68,513.04
  5. Step 5: Solve for x
    x = 68,513.04/330.64
  6. Step 6: Final answer
    x = 207.21

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