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Finding the Fourth Proportional to 218.77, 327.75 and 180.03

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Solution

The fourth proportional to 218.77, 327.75 and 180.03 is: 269.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.77 : 327.75 = 180.03 : x
  2. Step 2: Convert to fraction form
    218.77/327.75 = 180.03/x
  3. Step 3: Cross multiply
    218.77x = 327.75 × 180.03
  4. Step 4: Simplify right side
    218.77x = 59,004.83
  5. Step 5: Solve for x
    x = 59,004.83/218.77
  6. Step 6: Final answer
    x = 269.71

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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.