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Finding the Fourth Proportional to 364.63, 547.28 and 169.73

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Solution

The fourth proportional to 364.63, 547.28 and 169.73 is: 254.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.63 : 547.28 = 169.73 : x
  2. Step 2: Convert to fraction form
    364.63/547.28 = 169.73/x
  3. Step 3: Cross multiply
    364.63x = 547.28 × 169.73
  4. Step 4: Simplify right side
    364.63x = 92,889.83
  5. Step 5: Solve for x
    x = 92,889.83/364.63
  6. Step 6: Final answer
    x = 254.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.