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Finding the Fourth Proportional to 218.88, 328.12 and 137.78

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Solution

The fourth proportional to 218.88, 328.12 and 137.78 is: 206.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.88 : 328.12 = 137.78 : x
  2. Step 2: Convert to fraction form
    218.88/328.12 = 137.78/x
  3. Step 3: Cross multiply
    218.88x = 328.12 × 137.78
  4. Step 4: Simplify right side
    218.88x = 45,208.37
  5. Step 5: Solve for x
    x = 45,208.37/218.88
  6. Step 6: Final answer
    x = 206.54

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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.