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Finding the Fourth Proportional to 327.61, 452.10 and 180.26

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Solution

The fourth proportional to 327.61, 452.10 and 180.26 is: 248.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.61 : 452.10 = 180.26 : x
  2. Step 2: Convert to fraction form
    327.61/452.10 = 180.26/x
  3. Step 3: Cross multiply
    327.61x = 452.10 × 180.26
  4. Step 4: Simplify right side
    327.61x = 81,495.66
  5. Step 5: Solve for x
    x = 81,495.66/327.61
  6. Step 6: Final answer
    x = 248.76

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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.