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Finding the Fourth Proportional to 218.08, 327.12 and 120.64

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Solution

The fourth proportional to 218.08, 327.12 and 120.64 is: 180.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.08 : 327.12 = 120.64 : x
  2. Step 2: Convert to fraction form
    218.08/327.12 = 120.64/x
  3. Step 3: Cross multiply
    218.08x = 327.12 × 120.64
  4. Step 4: Simplify right side
    218.08x = 39,463.76
  5. Step 5: Solve for x
    x = 39,463.76/218.08
  6. Step 6: Final answer
    x = 180.96

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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.