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Finding the Fourth Proportional to 279.16, 385.28 and 161.16

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Solution

The fourth proportional to 279.16, 385.28 and 161.16 is: 222.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.16 : 385.28 = 161.16 : x
  2. Step 2: Convert to fraction form
    279.16/385.28 = 161.16/x
  3. Step 3: Cross multiply
    279.16x = 385.28 × 161.16
  4. Step 4: Simplify right side
    279.16x = 62,091.72
  5. Step 5: Solve for x
    x = 62,091.72/279.16
  6. Step 6: Final answer
    x = 222.42

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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.