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Finding the Fourth Proportional to 330.82, 496.32 and 186.64

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Solution

The fourth proportional to 330.82, 496.32 and 186.64 is: 280.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.82 : 496.32 = 186.64 : x
  2. Step 2: Convert to fraction form
    330.82/496.32 = 186.64/x
  3. Step 3: Cross multiply
    330.82x = 496.32 × 186.64
  4. Step 4: Simplify right side
    330.82x = 92,633.16
  5. Step 5: Solve for x
    x = 92,633.16/330.82
  6. Step 6: Final answer
    x = 280.01

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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.