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Finding the Fourth Proportional to 329.12, 494.04 and 184.88

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Solution

The fourth proportional to 329.12, 494.04 and 184.88 is: 277.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.12 : 494.04 = 184.88 : x
  2. Step 2: Convert to fraction form
    329.12/494.04 = 184.88/x
  3. Step 3: Cross multiply
    329.12x = 494.04 × 184.88
  4. Step 4: Simplify right side
    329.12x = 91,338.12
  5. Step 5: Solve for x
    x = 91,338.12/329.12
  6. Step 6: Final answer
    x = 277.52

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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.