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Finding the Fourth Proportional to 218.52, 327.36 and 178.20

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Solution

The fourth proportional to 218.52, 327.36 and 178.20 is: 266.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.52 : 327.36 = 178.20 : x
  2. Step 2: Convert to fraction form
    218.52/327.36 = 178.20/x
  3. Step 3: Cross multiply
    218.52x = 327.36 × 178.20
  4. Step 4: Simplify right side
    218.52x = 58,335.55
  5. Step 5: Solve for x
    x = 58,335.55/218.52
  6. Step 6: Final answer
    x = 266.96

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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.