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Finding the Fourth Proportional to 279.28, 385.46 and 162.86

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Solution

The fourth proportional to 279.28, 385.46 and 162.86 is: 224.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.28 : 385.46 = 162.86 : x
  2. Step 2: Convert to fraction form
    279.28/385.46 = 162.86/x
  3. Step 3: Cross multiply
    279.28x = 385.46 × 162.86
  4. Step 4: Simplify right side
    279.28x = 62,776.02
  5. Step 5: Solve for x
    x = 62,776.02/279.28
  6. Step 6: Final answer
    x = 224.78

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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.