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Finding the Fourth Proportional to 279.54, 385.79 and 161.56

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Solution

The fourth proportional to 279.54, 385.79 and 161.56 is: 222.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.54 : 385.79 = 161.56 : x
  2. Step 2: Convert to fraction form
    279.54/385.79 = 161.56/x
  3. Step 3: Cross multiply
    279.54x = 385.79 × 161.56
  4. Step 4: Simplify right side
    279.54x = 62,327.42
  5. Step 5: Solve for x
    x = 62,327.42/279.54
  6. Step 6: Final answer
    x = 222.96

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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.