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Finding the Fourth Proportional to 372.75, 559.14 and 116.25

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Solution

The fourth proportional to 372.75, 559.14 and 116.25 is: 174.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.75 : 559.14 = 116.25 : x
  2. Step 2: Convert to fraction form
    372.75/559.14 = 116.25/x
  3. Step 3: Cross multiply
    372.75x = 559.14 × 116.25
  4. Step 4: Simplify right side
    372.75x = 65,000.03
  5. Step 5: Solve for x
    x = 65,000.03/372.75
  6. Step 6: Final answer
    x = 174.38

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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.