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Finding the Fourth Proportional to 636.25, 954.38 and 180.25

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Solution

The fourth proportional to 636.25, 954.38 and 180.25 is: 270.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.25 : 954.38 = 180.25 : x
  2. Step 2: Convert to fraction form
    636.25/954.38 = 180.25/x
  3. Step 3: Cross multiply
    636.25x = 954.38 × 180.25
  4. Step 4: Simplify right side
    636.25x = 172,026.09
  5. Step 5: Solve for x
    x = 172,026.09/636.25
  6. Step 6: Final answer
    x = 270.38

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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.