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Finding the Fourth Proportional to 243.60, 363.18 and 220.80

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Solution

The fourth proportional to 243.60, 363.18 and 220.80 is: 329.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.60 : 363.18 = 220.80 : x
  2. Step 2: Convert to fraction form
    243.60/363.18 = 220.80/x
  3. Step 3: Cross multiply
    243.60x = 363.18 × 220.80
  4. Step 4: Simplify right side
    243.60x = 80,190.14
  5. Step 5: Solve for x
    x = 80,190.14/243.60
  6. Step 6: Final answer
    x = 329.19

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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.