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Finding the Fourth Proportional to 218.40, 326.96 and 122.08

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Solution

The fourth proportional to 218.40, 326.96 and 122.08 is: 182.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.40 : 326.96 = 122.08 : x
  2. Step 2: Convert to fraction form
    218.40/326.96 = 122.08/x
  3. Step 3: Cross multiply
    218.40x = 326.96 × 122.08
  4. Step 4: Simplify right side
    218.40x = 39,915.28
  5. Step 5: Solve for x
    x = 39,915.28/218.40
  6. Step 6: Final answer
    x = 182.76

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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.