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Finding the Fourth Proportional to 352.72, 529.14 and 109.19

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Solution

The fourth proportional to 352.72, 529.14 and 109.19 is: 163.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.72 : 529.14 = 109.19 : x
  2. Step 2: Convert to fraction form
    352.72/529.14 = 109.19/x
  3. Step 3: Cross multiply
    352.72x = 529.14 × 109.19
  4. Step 4: Simplify right side
    352.72x = 57,774.15
  5. Step 5: Solve for x
    x = 57,774.15/352.72
  6. Step 6: Final answer
    x = 163.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.