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Finding the Fourth Proportional to 243.64, 335.64 and 169.83

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Solution

The fourth proportional to 243.64, 335.64 and 169.83 is: 233.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.64 : 335.64 = 169.83 : x
  2. Step 2: Convert to fraction form
    243.64/335.64 = 169.83/x
  3. Step 3: Cross multiply
    243.64x = 335.64 × 169.83
  4. Step 4: Simplify right side
    243.64x = 57,001.74
  5. Step 5: Solve for x
    x = 57,001.74/243.64
  6. Step 6: Final answer
    x = 233.96

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