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Finding the Fourth Proportional to 218.54, 329.10 and 201.80

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Solution

The fourth proportional to 218.54, 329.10 and 201.80 is: 303.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.54 : 329.10 = 201.80 : x
  2. Step 2: Convert to fraction form
    218.54/329.10 = 201.80/x
  3. Step 3: Cross multiply
    218.54x = 329.10 × 201.80
  4. Step 4: Simplify right side
    218.54x = 66,412.38
  5. Step 5: Solve for x
    x = 66,412.38/218.54
  6. Step 6: Final answer
    x = 303.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.