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Finding the Fourth Proportional to 279.44, 385.65 and 163.02

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Solution

The fourth proportional to 279.44, 385.65 and 163.02 is: 224.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.44 : 385.65 = 163.02 : x
  2. Step 2: Convert to fraction form
    279.44/385.65 = 163.02/x
  3. Step 3: Cross multiply
    279.44x = 385.65 × 163.02
  4. Step 4: Simplify right side
    279.44x = 62,868.66
  5. Step 5: Solve for x
    x = 62,868.66/279.44
  6. Step 6: Final answer
    x = 224.98

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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.