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Finding the Fourth Proportional to 219.50, 327.60 and 194.84

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Solution

The fourth proportional to 219.50, 327.60 and 194.84 is: 290.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.50 : 327.60 = 194.84 : x
  2. Step 2: Convert to fraction form
    219.50/327.60 = 194.84/x
  3. Step 3: Cross multiply
    219.50x = 327.60 × 194.84
  4. Step 4: Simplify right side
    219.50x = 63,829.58
  5. Step 5: Solve for x
    x = 63,829.58/219.50
  6. Step 6: Final answer
    x = 290.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.