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Finding the Fourth Proportional to 218.84, 327.78 and 201.83

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Solution

The fourth proportional to 218.84, 327.78 and 201.83 is: 302.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.84 : 327.78 = 201.83 : x
  2. Step 2: Convert to fraction form
    218.84/327.78 = 201.83/x
  3. Step 3: Cross multiply
    218.84x = 327.78 × 201.83
  4. Step 4: Simplify right side
    218.84x = 66,154.20
  5. Step 5: Solve for x
    x = 66,154.20/218.84
  6. Step 6: Final answer
    x = 302.30

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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.