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Finding the Fourth Proportional to 243.20, 335.68 and 160.40

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Solution

The fourth proportional to 243.20, 335.68 and 160.40 is: 221.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.20 : 335.68 = 160.40 : x
  2. Step 2: Convert to fraction form
    243.20/335.68 = 160.40/x
  3. Step 3: Cross multiply
    243.20x = 335.68 × 160.40
  4. Step 4: Simplify right side
    243.20x = 53,843.07
  5. Step 5: Solve for x
    x = 53,843.07/243.20
  6. Step 6: Final answer
    x = 221.39

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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.