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Finding the Fourth Proportional to 279.72, 385.88 and 163.22

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Solution

The fourth proportional to 279.72, 385.88 and 163.22 is: 225.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.72 : 385.88 = 163.22 : x
  2. Step 2: Convert to fraction form
    279.72/385.88 = 163.22/x
  3. Step 3: Cross multiply
    279.72x = 385.88 × 163.22
  4. Step 4: Simplify right side
    279.72x = 62,983.33
  5. Step 5: Solve for x
    x = 62,983.33/279.72
  6. Step 6: Final answer
    x = 225.17

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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.