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Finding the Fourth Proportional to 248.12, 372.05 and 116.21

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Solution

The fourth proportional to 248.12, 372.05 and 116.21 is: 174.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.12 : 372.05 = 116.21 : x
  2. Step 2: Convert to fraction form
    248.12/372.05 = 116.21/x
  3. Step 3: Cross multiply
    248.12x = 372.05 × 116.21
  4. Step 4: Simplify right side
    248.12x = 43,234.07
  5. Step 5: Solve for x
    x = 43,234.07/248.12
  6. Step 6: Final answer
    x = 174.25

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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.