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Finding the Fourth Proportional to 218.60, 327.55 and 137.24

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Solution

The fourth proportional to 218.60, 327.55 and 137.24 is: 205.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.60 : 327.55 = 137.24 : x
  2. Step 2: Convert to fraction form
    218.60/327.55 = 137.24/x
  3. Step 3: Cross multiply
    218.60x = 327.55 × 137.24
  4. Step 4: Simplify right side
    218.60x = 44,952.96
  5. Step 5: Solve for x
    x = 44,952.96/218.60
  6. Step 6: Final answer
    x = 205.64

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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.