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Finding the Fourth Proportional to 218.52, 327.72 and 137.28

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Solution

The fourth proportional to 218.52, 327.72 and 137.28 is: 205.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.52 : 327.72 = 137.28 : x
  2. Step 2: Convert to fraction form
    218.52/327.72 = 137.28/x
  3. Step 3: Cross multiply
    218.52x = 327.72 × 137.28
  4. Step 4: Simplify right side
    218.52x = 44,989.40
  5. Step 5: Solve for x
    x = 44,989.40/218.52
  6. Step 6: Final answer
    x = 205.88

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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.