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Finding the Fourth Proportional to 352.77, 528.98 and 109.23

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Solution

The fourth proportional to 352.77, 528.98 and 109.23 is: 163.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.77 : 528.98 = 109.23 : x
  2. Step 2: Convert to fraction form
    352.77/528.98 = 109.23/x
  3. Step 3: Cross multiply
    352.77x = 528.98 × 109.23
  4. Step 4: Simplify right side
    352.77x = 57,779.94
  5. Step 5: Solve for x
    x = 57,779.94/352.77
  6. Step 6: Final answer
    x = 163.79

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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.