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Finding the Fourth Proportional to 327.37, 451.77 and 180.00

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Solution

The fourth proportional to 327.37, 451.77 and 180.00 is: 248.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.37 : 451.77 = 180.00 : x
  2. Step 2: Convert to fraction form
    327.37/451.77 = 180.00/x
  3. Step 3: Cross multiply
    327.37x = 451.77 × 180.00
  4. Step 4: Simplify right side
    327.37x = 81,320.29
  5. Step 5: Solve for x
    x = 81,320.29/327.37
  6. Step 6: Final answer
    x = 248.40

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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.