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Finding the Fourth Proportional to 279.33, 385.45 and 161.34

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Solution

The fourth proportional to 279.33, 385.45 and 161.34 is: 222.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.33 : 385.45 = 161.34 : x
  2. Step 2: Convert to fraction form
    279.33/385.45 = 161.34/x
  3. Step 3: Cross multiply
    279.33x = 385.45 × 161.34
  4. Step 4: Simplify right side
    279.33x = 62,187.70
  5. Step 5: Solve for x
    x = 62,187.70/279.33
  6. Step 6: Final answer
    x = 222.63

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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.