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Finding the Fourth Proportional to 352.73, 529.31 and 179.55

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Solution

The fourth proportional to 352.73, 529.31 and 179.55 is: 269.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.73 : 529.31 = 179.55 : x
  2. Step 2: Convert to fraction form
    352.73/529.31 = 179.55/x
  3. Step 3: Cross multiply
    352.73x = 529.31 × 179.55
  4. Step 4: Simplify right side
    352.73x = 95,038.06
  5. Step 5: Solve for x
    x = 95,038.06/352.73
  6. Step 6: Final answer
    x = 269.43

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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.