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Finding the Fourth Proportional to 218.41, 327.81 and 180.74

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Solution

The fourth proportional to 218.41, 327.81 and 180.74 is: 271.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.41 : 327.81 = 180.74 : x
  2. Step 2: Convert to fraction form
    218.41/327.81 = 180.74/x
  3. Step 3: Cross multiply
    218.41x = 327.81 × 180.74
  4. Step 4: Simplify right side
    218.41x = 59,248.38
  5. Step 5: Solve for x
    x = 59,248.38/218.41
  6. Step 6: Final answer
    x = 271.27

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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.