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Finding the Fourth Proportional to 243.66, 335.94 and 160.64

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Solution

The fourth proportional to 243.66, 335.94 and 160.64 is: 221.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.66 : 335.94 = 160.64 : x
  2. Step 2: Convert to fraction form
    243.66/335.94 = 160.64/x
  3. Step 3: Cross multiply
    243.66x = 335.94 × 160.64
  4. Step 4: Simplify right side
    243.66x = 53,965.40
  5. Step 5: Solve for x
    x = 53,965.40/243.66
  6. Step 6: Final answer
    x = 221.48

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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.