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Finding the Fourth Proportional to 355.25, 532.45 and 201.24

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Solution

The fourth proportional to 355.25, 532.45 and 201.24 is: 301.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.25 : 532.45 = 201.24 : x
  2. Step 2: Convert to fraction form
    355.25/532.45 = 201.24/x
  3. Step 3: Cross multiply
    355.25x = 532.45 × 201.24
  4. Step 4: Simplify right side
    355.25x = 107,149.73
  5. Step 5: Solve for x
    x = 107,149.73/355.25
  6. Step 6: Final answer
    x = 301.62

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