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Finding the Fourth Proportional to 279.14, 385.22 and 161.12

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Solution

The fourth proportional to 279.14, 385.22 and 161.12 is: 222.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.14 : 385.22 = 161.12 : x
  2. Step 2: Convert to fraction form
    279.14/385.22 = 161.12/x
  3. Step 3: Cross multiply
    279.14x = 385.22 × 161.12
  4. Step 4: Simplify right side
    279.14x = 62,068.01
  5. Step 5: Solve for x
    x = 62,068.01/279.14
  6. Step 6: Final answer
    x = 222.36

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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.