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Finding the Fourth Proportional to 327.40, 451.82 and 180.04

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Solution

The fourth proportional to 327.40, 451.82 and 180.04 is: 248.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.40 : 451.82 = 180.04 : x
  2. Step 2: Convert to fraction form
    327.40/451.82 = 180.04/x
  3. Step 3: Cross multiply
    327.40x = 451.82 × 180.04
  4. Step 4: Simplify right side
    327.40x = 81,345.67
  5. Step 5: Solve for x
    x = 81,345.67/327.40
  6. Step 6: Final answer
    x = 248.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.