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Finding the Fourth Proportional to 279.19, 385.33 and 161.24

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Solution

The fourth proportional to 279.19, 385.33 and 161.24 is: 222.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.19 : 385.33 = 161.24 : x
  2. Step 2: Convert to fraction form
    279.19/385.33 = 161.24/x
  3. Step 3: Cross multiply
    279.19x = 385.33 × 161.24
  4. Step 4: Simplify right side
    279.19x = 62,129.09
  5. Step 5: Solve for x
    x = 62,129.09/279.19
  6. Step 6: Final answer
    x = 222.54

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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.