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Finding the Fourth Proportional to 372.83, 559.26 and 109.26

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Solution

The fourth proportional to 372.83, 559.26 and 109.26 is: 163.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.83 : 559.26 = 109.26 : x
  2. Step 2: Convert to fraction form
    372.83/559.26 = 109.26/x
  3. Step 3: Cross multiply
    372.83x = 559.26 × 109.26
  4. Step 4: Simplify right side
    372.83x = 61,104.75
  5. Step 5: Solve for x
    x = 61,104.75/372.83
  6. Step 6: Final answer
    x = 163.90

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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.