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Finding the Fourth Proportional to 243.20, 335.57 and 143.64

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Solution

The fourth proportional to 243.20, 335.57 and 143.64 is: 198.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.20 : 335.57 = 143.64 : x
  2. Step 2: Convert to fraction form
    243.20/335.57 = 143.64/x
  3. Step 3: Cross multiply
    243.20x = 335.57 × 143.64
  4. Step 4: Simplify right side
    243.20x = 48,200.56
  5. Step 5: Solve for x
    x = 48,200.56/243.20
  6. Step 6: Final answer
    x = 198.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.