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Finding the Fourth Proportional to 243.54, 335.76 and 165.78

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Solution

The fourth proportional to 243.54, 335.76 and 165.78 is: 228.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.54 : 335.76 = 165.78 : x
  2. Step 2: Convert to fraction form
    243.54/335.76 = 165.78/x
  3. Step 3: Cross multiply
    243.54x = 335.76 × 165.78
  4. Step 4: Simplify right side
    243.54x = 55,662.29
  5. Step 5: Solve for x
    x = 55,662.29/243.54
  6. Step 6: Final answer
    x = 228.56

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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.