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Finding the Fourth Proportional to 218.20, 327.14 and 185.74

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Solution

The fourth proportional to 218.20, 327.14 and 185.74 is: 278.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.20 : 327.14 = 185.74 : x
  2. Step 2: Convert to fraction form
    218.20/327.14 = 185.74/x
  3. Step 3: Cross multiply
    218.20x = 327.14 × 185.74
  4. Step 4: Simplify right side
    218.20x = 60,762.98
  5. Step 5: Solve for x
    x = 60,762.98/218.20
  6. Step 6: Final answer
    x = 278.47

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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.