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Finding the Fourth Proportional to 218.49, 327.47 and 194.06

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Solution

The fourth proportional to 218.49, 327.47 and 194.06 is: 290.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.49 : 327.47 = 194.06 : x
  2. Step 2: Convert to fraction form
    218.49/327.47 = 194.06/x
  3. Step 3: Cross multiply
    218.49x = 327.47 × 194.06
  4. Step 4: Simplify right side
    218.49x = 63,546.22
  5. Step 5: Solve for x
    x = 63,546.22/218.49
  6. Step 6: Final answer
    x = 290.84

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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.